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Finding the Third Proportional to 232,282.13 and 358,984.13

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Solution

The third proportional to 232,282.13 and 358,984.13 is: 554,797.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,282.13 : 358,984.13 = 358,984.13 : x
  2. Step 2: Convert to fraction form
    232,282.13/358,984.13 = 358,984.13/x
  3. Step 3: Cross multiply
    232,282.13x = 358,984.13 × 358,984.13
  4. Step 4: Simplify right side
    232,282.13x = 128,869,602,002.02
  5. Step 5: Solve for x
    x = 128,869,602,002.02/232,282.13
  6. Step 6: Final answer
    x = 554,797.76

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