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Finding the Third Proportional to 162,776.25 and 351,870.75

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Solution

The third proportional to 162,776.25 and 351,870.75 is: 760,633.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,776.25 : 351,870.75 = 351,870.75 : x
  2. Step 2: Convert to fraction form
    162,776.25/351,870.75 = 351,870.75/x
  3. Step 3: Cross multiply
    162,776.25x = 351,870.75 × 351,870.75
  4. Step 4: Simplify right side
    162,776.25x = 123,813,024,705.56
  5. Step 5: Solve for x
    x = 123,813,024,705.56/162,776.25
  6. Step 6: Final answer
    x = 760,633.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.