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Finding the Third Proportional to 162,088 and 260,432

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Solution

The third proportional to 162,088 and 260,432 is: 418,444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,088 : 260,432 = 260,432 : x
  2. Step 2: Convert to fraction form
    162,088/260,432 = 260,432/x
  3. Step 3: Cross multiply
    162,088x = 260,432 × 260,432
  4. Step 4: Simplify right side
    162,088x = 67,824,826,624
  5. Step 5: Solve for x
    x = 67,824,826,624/162,088
  6. Step 6: Final answer
    x = 418,444.47

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.