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Finding the Third Proportional to 162,088.03 and 260,431.31

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Solution

The third proportional to 162,088.03 and 260,431.31 is: 418,442.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,088.03 : 260,431.31 = 260,431.31 : x
  2. Step 2: Convert to fraction form
    162,088.03/260,431.31 = 260,431.31/x
  3. Step 3: Cross multiply
    162,088.03x = 260,431.31 × 260,431.31
  4. Step 4: Simplify right side
    162,088.03x = 67,824,468,530.47
  5. Step 5: Solve for x
    x = 67,824,468,530.47/162,088.03
  6. Step 6: Final answer
    x = 418,442.18

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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.