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Finding the Third Proportional to 175,482.75 and 250,947.75

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Solution

The third proportional to 175,482.75 and 250,947.75 is: 358,865.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,482.75 : 250,947.75 = 250,947.75 : x
  2. Step 2: Convert to fraction form
    175,482.75/250,947.75 = 250,947.75/x
  3. Step 3: Cross multiply
    175,482.75x = 250,947.75 × 250,947.75
  4. Step 4: Simplify right side
    175,482.75x = 62,974,773,230.06
  5. Step 5: Solve for x
    x = 62,974,773,230.06/175,482.75
  6. Step 6: Final answer
    x = 358,865.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.