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Finding the Third Proportional to 210,019 and 316,743

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Solution

The third proportional to 210,019 and 316,743 is: 477,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,019 : 316,743 = 316,743 : x
  2. Step 2: Convert to fraction form
    210,019/316,743 = 316,743/x
  3. Step 3: Cross multiply
    210,019x = 316,743 × 316,743
  4. Step 4: Simplify right side
    210,019x = 100,326,128,049
  5. Step 5: Solve for x
    x = 100,326,128,049/210,019
  6. Step 6: Final answer
    x = 477,700.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.