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Finding the Third Proportional to 162,582 and 217,465.50

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Solution

The third proportional to 162,582 and 217,465.50 is: 290,876.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,582 : 217,465.50 = 217,465.50 : x
  2. Step 2: Convert to fraction form
    162,582/217,465.50 = 217,465.50/x
  3. Step 3: Cross multiply
    162,582x = 217,465.50 × 217,465.50
  4. Step 4: Simplify right side
    162,582x = 47,291,243,690.25
  5. Step 5: Solve for x
    x = 47,291,243,690.25/162,582
  6. Step 6: Final answer
    x = 290,876.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.