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Finding the Third Proportional to 152,034 and 351,922

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Solution

The third proportional to 152,034 and 351,922 is: 814,614.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,034 : 351,922 = 351,922 : x
  2. Step 2: Convert to fraction form
    152,034/351,922 = 351,922/x
  3. Step 3: Cross multiply
    152,034x = 351,922 × 351,922
  4. Step 4: Simplify right side
    152,034x = 123,849,094,084
  5. Step 5: Solve for x
    x = 123,849,094,084/152,034
  6. Step 6: Final answer
    x = 814,614.46

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.