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Finding the Third Proportional to 174,276 and 260,712

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Solution

The third proportional to 174,276 and 260,712 is: 390,017.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,276 : 260,712 = 260,712 : x
  2. Step 2: Convert to fraction form
    174,276/260,712 = 260,712/x
  3. Step 3: Cross multiply
    174,276x = 260,712 × 260,712
  4. Step 4: Simplify right side
    174,276x = 67,970,746,944
  5. Step 5: Solve for x
    x = 67,970,746,944/174,276
  6. Step 6: Final answer
    x = 390,017.83

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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.