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Finding the Third Proportional to 178,492 and 286,980

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Solution

The third proportional to 178,492 and 286,980 is: 461,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,492 : 286,980 = 286,980 : x
  2. Step 2: Convert to fraction form
    178,492/286,980 = 286,980/x
  3. Step 3: Cross multiply
    178,492x = 286,980 × 286,980
  4. Step 4: Simplify right side
    178,492x = 82,357,520,400
  5. Step 5: Solve for x
    x = 82,357,520,400/178,492
  6. Step 6: Final answer
    x = 461,407.35

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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.