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Finding the Third Proportional to 157,929.75 and 349,076.25

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Solution

The third proportional to 157,929.75 and 349,076.25 is: 771,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,929.75 : 349,076.25 = 349,076.25 : x
  2. Step 2: Convert to fraction form
    157,929.75/349,076.25 = 349,076.25/x
  3. Step 3: Cross multiply
    157,929.75x = 349,076.25 × 349,076.25
  4. Step 4: Simplify right side
    157,929.75x = 121,854,228,314.06
  5. Step 5: Solve for x
    x = 121,854,228,314.06/157,929.75
  6. Step 6: Final answer
    x = 771,572.35

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.