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Finding the Third Proportional to 130,882 and 201,442

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Solution

The third proportional to 130,882 and 201,442 is: 310,041.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,882 : 201,442 = 201,442 : x
  2. Step 2: Convert to fraction form
    130,882/201,442 = 201,442/x
  3. Step 3: Cross multiply
    130,882x = 201,442 × 201,442
  4. Step 4: Simplify right side
    130,882x = 40,578,879,364
  5. Step 5: Solve for x
    x = 40,578,879,364/130,882
  6. Step 6: Final answer
    x = 310,041.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.