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Finding the Third Proportional to 160,466 and 254,306

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Solution

The third proportional to 160,466 and 254,306 is: 403,023.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,466 : 254,306 = 254,306 : x
  2. Step 2: Convert to fraction form
    160,466/254,306 = 254,306/x
  3. Step 3: Cross multiply
    160,466x = 254,306 × 254,306
  4. Step 4: Simplify right side
    160,466x = 64,671,541,636
  5. Step 5: Solve for x
    x = 64,671,541,636/160,466
  6. Step 6: Final answer
    x = 403,023.33

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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.