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Finding the Third Proportional to 160,506 and 254,376

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Solution

The third proportional to 160,506 and 254,376 is: 403,144.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,506 : 254,376 = 254,376 : x
  2. Step 2: Convert to fraction form
    160,506/254,376 = 254,376/x
  3. Step 3: Cross multiply
    160,506x = 254,376 × 254,376
  4. Step 4: Simplify right side
    160,506x = 64,707,149,376
  5. Step 5: Solve for x
    x = 64,707,149,376/160,506
  6. Step 6: Final answer
    x = 403,144.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.