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Finding the Third Proportional to 119,460 and 260,808

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Solution

The third proportional to 119,460 and 260,808 is: 569,402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,460 : 260,808 = 260,808 : x
  2. Step 2: Convert to fraction form
    119,460/260,808 = 260,808/x
  3. Step 3: Cross multiply
    119,460x = 260,808 × 260,808
  4. Step 4: Simplify right side
    119,460x = 68,020,812,864
  5. Step 5: Solve for x
    x = 68,020,812,864/119,460
  6. Step 6: Final answer
    x = 569,402.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.