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Finding the Third Proportional to 174,402 and 260,919

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Solution

The third proportional to 174,402 and 260,919 is: 390,355.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,402 : 260,919 = 260,919 : x
  2. Step 2: Convert to fraction form
    174,402/260,919 = 260,919/x
  3. Step 3: Cross multiply
    174,402x = 260,919 × 260,919
  4. Step 4: Simplify right side
    174,402x = 68,078,724,561
  5. Step 5: Solve for x
    x = 68,078,724,561/174,402
  6. Step 6: Final answer
    x = 390,355.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.