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Finding the Third Proportional to 157,750.88 and 248,108.06

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Solution

The third proportional to 157,750.88 and 248,108.06 is: 390,220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,750.88 : 248,108.06 = 248,108.06 : x
  2. Step 2: Convert to fraction form
    157,750.88/248,108.06 = 248,108.06/x
  3. Step 3: Cross multiply
    157,750.88x = 248,108.06 × 248,108.06
  4. Step 4: Simplify right side
    157,750.88x = 61,557,610,677.50
  5. Step 5: Solve for x
    x = 61,557,610,677.50/157,750.88
  6. Step 6: Final answer
    x = 390,220.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.