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Finding the Third Proportional to 154,428.75 and 338,382

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Solution

The third proportional to 154,428.75 and 338,382 is: 741,457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,428.75 : 338,382 = 338,382 : x
  2. Step 2: Convert to fraction form
    154,428.75/338,382 = 338,382/x
  3. Step 3: Cross multiply
    154,428.75x = 338,382 × 338,382
  4. Step 4: Simplify right side
    154,428.75x = 114,502,377,924
  5. Step 5: Solve for x
    x = 114,502,377,924/154,428.75
  6. Step 6: Final answer
    x = 741,457.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.