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Finding the Third Proportional to 119,098 and 260,516

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Solution

The third proportional to 119,098 and 260,516 is: 569,854.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,098 : 260,516 = 260,516 : x
  2. Step 2: Convert to fraction form
    119,098/260,516 = 260,516/x
  3. Step 3: Cross multiply
    119,098x = 260,516 × 260,516
  4. Step 4: Simplify right side
    119,098x = 67,868,586,256
  5. Step 5: Solve for x
    x = 67,868,586,256/119,098
  6. Step 6: Final answer
    x = 569,854.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.