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Finding the Third Proportional to 162,587 and 215,724

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Solution

The third proportional to 162,587 and 215,724 is: 286,227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,587 : 215,724 = 215,724 : x
  2. Step 2: Convert to fraction form
    162,587/215,724 = 215,724/x
  3. Step 3: Cross multiply
    162,587x = 215,724 × 215,724
  4. Step 4: Simplify right side
    162,587x = 46,536,844,176
  5. Step 5: Solve for x
    x = 46,536,844,176/162,587
  6. Step 6: Final answer
    x = 286,227.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.