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Finding the Third Proportional to 210,942 and 325,725

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Solution

The third proportional to 210,942 and 325,725 is: 502,966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,942 : 325,725 = 325,725 : x
  2. Step 2: Convert to fraction form
    210,942/325,725 = 325,725/x
  3. Step 3: Cross multiply
    210,942x = 325,725 × 325,725
  4. Step 4: Simplify right side
    210,942x = 106,096,775,625
  5. Step 5: Solve for x
    x = 106,096,775,625/210,942
  6. Step 6: Final answer
    x = 502,966.58

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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.