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Finding the Third Proportional to 232,497 and 359,116.50

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Solution

The third proportional to 232,497 and 359,116.50 is: 554,693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,497 : 359,116.50 = 359,116.50 : x
  2. Step 2: Convert to fraction form
    232,497/359,116.50 = 359,116.50/x
  3. Step 3: Cross multiply
    232,497x = 359,116.50 × 359,116.50
  4. Step 4: Simplify right side
    232,497x = 128,964,660,572.25
  5. Step 5: Solve for x
    x = 128,964,660,572.25/232,497
  6. Step 6: Final answer
    x = 554,693.87

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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.