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Finding the Third Proportional to 98,460.56 and 237,380.63

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Solution

The third proportional to 98,460.56 and 237,380.63 is: 572,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,460.56 : 237,380.63 = 237,380.63 : x
  2. Step 2: Convert to fraction form
    98,460.56/237,380.63 = 237,380.63/x
  3. Step 3: Cross multiply
    98,460.56x = 237,380.63 × 237,380.63
  4. Step 4: Simplify right side
    98,460.56x = 56,349,561,125.39
  5. Step 5: Solve for x
    x = 56,349,561,125.39/98,460.56
  6. Step 6: Final answer
    x = 572,305.90

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.