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Finding the Third Proportional to 232,428 and 359,154

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Solution

The third proportional to 232,428 and 359,154 is: 554,974.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,428 : 359,154 = 359,154 : x
  2. Step 2: Convert to fraction form
    232,428/359,154 = 359,154/x
  3. Step 3: Cross multiply
    232,428x = 359,154 × 359,154
  4. Step 4: Simplify right side
    232,428x = 128,991,595,716
  5. Step 5: Solve for x
    x = 128,991,595,716/232,428
  6. Step 6: Final answer
    x = 554,974.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.