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Finding the Third Proportional to 157,844.95 and 240,707.95

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Solution

The third proportional to 157,844.95 and 240,707.95 is: 367,071.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,844.95 : 240,707.95 = 240,707.95 : x
  2. Step 2: Convert to fraction form
    157,844.95/240,707.95 = 240,707.95/x
  3. Step 3: Cross multiply
    157,844.95x = 240,707.95 × 240,707.95
  4. Step 4: Simplify right side
    157,844.95x = 57,940,318,697.63
  5. Step 5: Solve for x
    x = 57,940,318,697.63/157,844.95
  6. Step 6: Final answer
    x = 367,071.09

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.