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Finding the Third Proportional to 178,466 and 286,995

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Solution

The third proportional to 178,466 and 286,995 is: 461,522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,466 : 286,995 = 286,995 : x
  2. Step 2: Convert to fraction form
    178,466/286,995 = 286,995/x
  3. Step 3: Cross multiply
    178,466x = 286,995 × 286,995
  4. Step 4: Simplify right side
    178,466x = 82,366,130,025
  5. Step 5: Solve for x
    x = 82,366,130,025/178,466
  6. Step 6: Final answer
    x = 461,522.81

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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.