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Finding the Third Proportional to 152,656 and 234,776

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Solution

The third proportional to 152,656 and 234,776 is: 361,071.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,656 : 234,776 = 234,776 : x
  2. Step 2: Convert to fraction form
    152,656/234,776 = 234,776/x
  3. Step 3: Cross multiply
    152,656x = 234,776 × 234,776
  4. Step 4: Simplify right side
    152,656x = 55,119,770,176
  5. Step 5: Solve for x
    x = 55,119,770,176/152,656
  6. Step 6: Final answer
    x = 361,071.76

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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.