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Finding the Third Proportional to 176,466 and 416,514

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Solution

The third proportional to 176,466 and 416,514 is: 983,101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,466 : 416,514 = 416,514 : x
  2. Step 2: Convert to fraction form
    176,466/416,514 = 416,514/x
  3. Step 3: Cross multiply
    176,466x = 416,514 × 416,514
  4. Step 4: Simplify right side
    176,466x = 173,483,912,196
  5. Step 5: Solve for x
    x = 173,483,912,196/176,466
  6. Step 6: Final answer
    x = 983,101.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.