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Finding the Third Proportional to 118,276.50 and 273,537

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Solution

The third proportional to 118,276.50 and 273,537 is: 632,606.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,276.50 : 273,537 = 273,537 : x
  2. Step 2: Convert to fraction form
    118,276.50/273,537 = 273,537/x
  3. Step 3: Cross multiply
    118,276.50x = 273,537 × 273,537
  4. Step 4: Simplify right side
    118,276.50x = 74,822,490,369
  5. Step 5: Solve for x
    x = 74,822,490,369/118,276.50
  6. Step 6: Final answer
    x = 632,606.56

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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.