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Finding the Third Proportional to 159,476 and 256,953

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Solution

The third proportional to 159,476 and 256,953 is: 414,011.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,476 : 256,953 = 256,953 : x
  2. Step 2: Convert to fraction form
    159,476/256,953 = 256,953/x
  3. Step 3: Cross multiply
    159,476x = 256,953 × 256,953
  4. Step 4: Simplify right side
    159,476x = 66,024,844,209
  5. Step 5: Solve for x
    x = 66,024,844,209/159,476
  6. Step 6: Final answer
    x = 414,011.16

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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.