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Finding the Third Proportional to 174,262 and 260,700

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Solution

The third proportional to 174,262 and 260,700 is: 390,013.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,262 : 260,700 = 260,700 : x
  2. Step 2: Convert to fraction form
    174,262/260,700 = 260,700/x
  3. Step 3: Cross multiply
    174,262x = 260,700 × 260,700
  4. Step 4: Simplify right side
    174,262x = 67,964,490,000
  5. Step 5: Solve for x
    x = 67,964,490,000/174,262
  6. Step 6: Final answer
    x = 390,013.26

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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.