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Finding the Third Proportional to 142,735.92 and 310,075.59

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Solution

The third proportional to 142,735.92 and 310,075.59 is: 673,599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,735.92 : 310,075.59 = 310,075.59 : x
  2. Step 2: Convert to fraction form
    142,735.92/310,075.59 = 310,075.59/x
  3. Step 3: Cross multiply
    142,735.92x = 310,075.59 × 310,075.59
  4. Step 4: Simplify right side
    142,735.92x = 96,146,873,839.42
  5. Step 5: Solve for x
    x = 96,146,873,839.42/142,735.92
  6. Step 6: Final answer
    x = 673,599.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.