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Finding the Third Proportional to 142,012.75 and 308,937.25

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Solution

The third proportional to 142,012.75 and 308,937.25 is: 672,068.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,012.75 : 308,937.25 = 308,937.25 : x
  2. Step 2: Convert to fraction form
    142,012.75/308,937.25 = 308,937.25/x
  3. Step 3: Cross multiply
    142,012.75x = 308,937.25 × 308,937.25
  4. Step 4: Simplify right side
    142,012.75x = 95,442,224,437.56
  5. Step 5: Solve for x
    x = 95,442,224,437.56/142,012.75
  6. Step 6: Final answer
    x = 672,068.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.