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Finding the Third Proportional to 175,024 and 264,139

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Solution

The third proportional to 175,024 and 264,139 is: 398,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,024 : 264,139 = 264,139 : x
  2. Step 2: Convert to fraction form
    175,024/264,139 = 264,139/x
  3. Step 3: Cross multiply
    175,024x = 264,139 × 264,139
  4. Step 4: Simplify right side
    175,024x = 69,769,411,321
  5. Step 5: Solve for x
    x = 69,769,411,321/175,024
  6. Step 6: Final answer
    x = 398,627.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.