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Finding the Third Proportional to 146,432 and 299,776

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Solution

The third proportional to 146,432 and 299,776 is: 613,702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,432 : 299,776 = 299,776 : x
  2. Step 2: Convert to fraction form
    146,432/299,776 = 299,776/x
  3. Step 3: Cross multiply
    146,432x = 299,776 × 299,776
  4. Step 4: Simplify right side
    146,432x = 89,865,650,176
  5. Step 5: Solve for x
    x = 89,865,650,176/146,432
  6. Step 6: Final answer
    x = 613,702.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.