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Finding the Third Proportional to 169,148 and 371,776

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Solution

The third proportional to 169,148 and 371,776 is: 817,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,148 : 371,776 = 371,776 : x
  2. Step 2: Convert to fraction form
    169,148/371,776 = 371,776/x
  3. Step 3: Cross multiply
    169,148x = 371,776 × 371,776
  4. Step 4: Simplify right side
    169,148x = 138,217,394,176
  5. Step 5: Solve for x
    x = 138,217,394,176/169,148
  6. Step 6: Final answer
    x = 817,138.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.