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Finding the Third Proportional to 157,309.13 and 235,980.56

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Solution

The third proportional to 157,309.13 and 235,980.56 is: 353,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,309.13 : 235,980.56 = 235,980.56 : x
  2. Step 2: Convert to fraction form
    157,309.13/235,980.56 = 235,980.56/x
  3. Step 3: Cross multiply
    157,309.13x = 235,980.56 × 235,980.56
  4. Step 4: Simplify right side
    157,309.13x = 55,686,825,877.82
  5. Step 5: Solve for x
    x = 55,686,825,877.82/157,309.13
  6. Step 6: Final answer
    x = 353,996.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.