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Finding the Third Proportional to 179,526 and 278,769

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Solution

The third proportional to 179,526 and 278,769 is: 432,874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,526 : 278,769 = 278,769 : x
  2. Step 2: Convert to fraction form
    179,526/278,769 = 278,769/x
  3. Step 3: Cross multiply
    179,526x = 278,769 × 278,769
  4. Step 4: Simplify right side
    179,526x = 77,712,155,361
  5. Step 5: Solve for x
    x = 77,712,155,361/179,526
  6. Step 6: Final answer
    x = 432,874.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.