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Finding the Third Proportional to 232,432 and 358,900.13

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Solution

The third proportional to 232,432 and 358,900.13 is: 554,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,432 : 358,900.13 = 358,900.13 : x
  2. Step 2: Convert to fraction form
    232,432/358,900.13 = 358,900.13/x
  3. Step 3: Cross multiply
    232,432x = 358,900.13 × 358,900.13
  4. Step 4: Simplify right side
    232,432x = 128,809,299,725.02
  5. Step 5: Solve for x
    x = 128,809,299,725.02/232,432
  6. Step 6: Final answer
    x = 554,180.58

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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.