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Finding the Third Proportional to 248,221.50 and 535,798.50

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Solution

The third proportional to 248,221.50 and 535,798.50 is: 1,156,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,221.50 : 535,798.50 = 535,798.50 : x
  2. Step 2: Convert to fraction form
    248,221.50/535,798.50 = 535,798.50/x
  3. Step 3: Cross multiply
    248,221.50x = 535,798.50 × 535,798.50
  4. Step 4: Simplify right side
    248,221.50x = 287,080,032,602.25
  5. Step 5: Solve for x
    x = 287,080,032,602.25/248,221.50
  6. Step 6: Final answer
    x = 1,156,547.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.