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Finding the Third Proportional to 155,537 and 230,023

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Solution

The third proportional to 155,537 and 230,023 is: 340,180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,537 : 230,023 = 230,023 : x
  2. Step 2: Convert to fraction form
    155,537/230,023 = 230,023/x
  3. Step 3: Cross multiply
    155,537x = 230,023 × 230,023
  4. Step 4: Simplify right side
    155,537x = 52,910,580,529
  5. Step 5: Solve for x
    x = 52,910,580,529/155,537
  6. Step 6: Final answer
    x = 340,180.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.