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Finding the Third Proportional to 154,272 and 233,053.50

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Solution

The third proportional to 154,272 and 233,053.50 is: 352,066.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,272 : 233,053.50 = 233,053.50 : x
  2. Step 2: Convert to fraction form
    154,272/233,053.50 = 233,053.50/x
  3. Step 3: Cross multiply
    154,272x = 233,053.50 × 233,053.50
  4. Step 4: Simplify right side
    154,272x = 54,313,933,862.25
  5. Step 5: Solve for x
    x = 54,313,933,862.25/154,272
  6. Step 6: Final answer
    x = 352,066.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.