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Finding the Third Proportional to 153,344 and 232,784

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Solution

The third proportional to 153,344 and 232,784 is: 353,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,344 : 232,784 = 232,784 : x
  2. Step 2: Convert to fraction form
    153,344/232,784 = 232,784/x
  3. Step 3: Cross multiply
    153,344x = 232,784 × 232,784
  4. Step 4: Simplify right side
    153,344x = 54,188,390,656
  5. Step 5: Solve for x
    x = 54,188,390,656/153,344
  6. Step 6: Final answer
    x = 353,377.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.