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Finding the Third Proportional to 170,848.50 and 260,487

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Solution

The third proportional to 170,848.50 and 260,487 is: 397,155.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,848.50 : 260,487 = 260,487 : x
  2. Step 2: Convert to fraction form
    170,848.50/260,487 = 260,487/x
  3. Step 3: Cross multiply
    170,848.50x = 260,487 × 260,487
  4. Step 4: Simplify right side
    170,848.50x = 67,853,477,169
  5. Step 5: Solve for x
    x = 67,853,477,169/170,848.50
  6. Step 6: Final answer
    x = 397,155.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.