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Finding the Third Proportional to 248,528.25 and 539,156.25

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Solution

The third proportional to 248,528.25 and 539,156.25 is: 1,169,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,528.25 : 539,156.25 = 539,156.25 : x
  2. Step 2: Convert to fraction form
    248,528.25/539,156.25 = 539,156.25/x
  3. Step 3: Cross multiply
    248,528.25x = 539,156.25 × 539,156.25
  4. Step 4: Simplify right side
    248,528.25x = 290,689,461,914.06
  5. Step 5: Solve for x
    x = 290,689,461,914.06/248,528.25
  6. Step 6: Final answer
    x = 1,169,643.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.