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Finding the Third Proportional to 153,867.75 and 243,438

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Solution

The third proportional to 153,867.75 and 243,438 is: 385,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,867.75 : 243,438 = 243,438 : x
  2. Step 2: Convert to fraction form
    153,867.75/243,438 = 243,438/x
  3. Step 3: Cross multiply
    153,867.75x = 243,438 × 243,438
  4. Step 4: Simplify right side
    153,867.75x = 59,262,059,844
  5. Step 5: Solve for x
    x = 59,262,059,844/153,867.75
  6. Step 6: Final answer
    x = 385,149.32

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.