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Finding the Third Proportional to 157,835.25 and 337,874.63

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Solution

The third proportional to 157,835.25 and 337,874.63 is: 723,281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,835.25 : 337,874.63 = 337,874.63 : x
  2. Step 2: Convert to fraction form
    157,835.25/337,874.63 = 337,874.63/x
  3. Step 3: Cross multiply
    157,835.25x = 337,874.63 × 337,874.63
  4. Step 4: Simplify right side
    157,835.25x = 114,159,262,218.89
  5. Step 5: Solve for x
    x = 114,159,262,218.89/157,835.25
  6. Step 6: Final answer
    x = 723,281.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.