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Finding the Third Proportional to 145,109.25 and 219,854.25

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Solution

The third proportional to 145,109.25 and 219,854.25 is: 333,100.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,109.25 : 219,854.25 = 219,854.25 : x
  2. Step 2: Convert to fraction form
    145,109.25/219,854.25 = 219,854.25/x
  3. Step 3: Cross multiply
    145,109.25x = 219,854.25 × 219,854.25
  4. Step 4: Simplify right side
    145,109.25x = 48,335,891,243.06
  5. Step 5: Solve for x
    x = 48,335,891,243.06/145,109.25
  6. Step 6: Final answer
    x = 333,100.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.