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Finding the Third Proportional to 157,335.89 and 241,976.67

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Solution

The third proportional to 157,335.89 and 241,976.67 is: 372,151.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,335.89 : 241,976.67 = 241,976.67 : x
  2. Step 2: Convert to fraction form
    157,335.89/241,976.67 = 241,976.67/x
  3. Step 3: Cross multiply
    157,335.89x = 241,976.67 × 241,976.67
  4. Step 4: Simplify right side
    157,335.89x = 58,552,709,731.70
  5. Step 5: Solve for x
    x = 58,552,709,731.70/157,335.89
  6. Step 6: Final answer
    x = 372,151.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.