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Finding the Third Proportional to 78,417 and 169,776

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Solution

The third proportional to 78,417 and 169,776 is: 367,571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,417 : 169,776 = 169,776 : x
  2. Step 2: Convert to fraction form
    78,417/169,776 = 169,776/x
  3. Step 3: Cross multiply
    78,417x = 169,776 × 169,776
  4. Step 4: Simplify right side
    78,417x = 28,823,890,176
  5. Step 5: Solve for x
    x = 28,823,890,176/78,417
  6. Step 6: Final answer
    x = 367,571.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.