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Finding the Third Proportional to 176,926 and 260,169

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Solution

The third proportional to 176,926 and 260,169 is: 382,577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,926 : 260,169 = 260,169 : x
  2. Step 2: Convert to fraction form
    176,926/260,169 = 260,169/x
  3. Step 3: Cross multiply
    176,926x = 260,169 × 260,169
  4. Step 4: Simplify right side
    176,926x = 67,687,908,561
  5. Step 5: Solve for x
    x = 67,687,908,561/176,926
  6. Step 6: Final answer
    x = 382,577.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.