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Finding the Third Proportional to 159,464 and 243,426

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Solution

The third proportional to 159,464 and 243,426 is: 371,596.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,464 : 243,426 = 243,426 : x
  2. Step 2: Convert to fraction form
    159,464/243,426 = 243,426/x
  3. Step 3: Cross multiply
    159,464x = 243,426 × 243,426
  4. Step 4: Simplify right side
    159,464x = 59,256,217,476
  5. Step 5: Solve for x
    x = 59,256,217,476/159,464
  6. Step 6: Final answer
    x = 371,596.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.