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Finding the Third Proportional to 229,374 and 354,314.25

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Solution

The third proportional to 229,374 and 354,314.25 is: 547,309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,374 : 354,314.25 = 354,314.25 : x
  2. Step 2: Convert to fraction form
    229,374/354,314.25 = 354,314.25/x
  3. Step 3: Cross multiply
    229,374x = 354,314.25 × 354,314.25
  4. Step 4: Simplify right side
    229,374x = 125,538,587,753.06
  5. Step 5: Solve for x
    x = 125,538,587,753.06/229,374
  6. Step 6: Final answer
    x = 547,309.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.