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Finding the Third Proportional to 118,245 and 273,459

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Solution

The third proportional to 118,245 and 273,459 is: 632,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,245 : 273,459 = 273,459 : x
  2. Step 2: Convert to fraction form
    118,245/273,459 = 273,459/x
  3. Step 3: Cross multiply
    118,245x = 273,459 × 273,459
  4. Step 4: Simplify right side
    118,245x = 74,779,824,681
  5. Step 5: Solve for x
    x = 74,779,824,681/118,245
  6. Step 6: Final answer
    x = 632,414.26

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.