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Finding the Third Proportional to 229,726.13 and 354,901.50

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Solution

The third proportional to 229,726.13 and 354,901.50 is: 548,283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,726.13 : 354,901.50 = 354,901.50 : x
  2. Step 2: Convert to fraction form
    229,726.13/354,901.50 = 354,901.50/x
  3. Step 3: Cross multiply
    229,726.13x = 354,901.50 × 354,901.50
  4. Step 4: Simplify right side
    229,726.13x = 125,955,074,702.25
  5. Step 5: Solve for x
    x = 125,955,074,702.25/229,726.13
  6. Step 6: Final answer
    x = 548,283.63

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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.