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Finding the Third Proportional to 182,712 and 260,763

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Solution

The third proportional to 182,712 and 260,763 is: 372,155.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,712 : 260,763 = 260,763 : x
  2. Step 2: Convert to fraction form
    182,712/260,763 = 260,763/x
  3. Step 3: Cross multiply
    182,712x = 260,763 × 260,763
  4. Step 4: Simplify right side
    182,712x = 67,997,342,169
  5. Step 5: Solve for x
    x = 67,997,342,169/182,712
  6. Step 6: Final answer
    x = 372,155.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.