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Finding the Third Proportional to 210,537 and 323,614

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Solution

The third proportional to 210,537 and 323,614 is: 497,423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,537 : 323,614 = 323,614 : x
  2. Step 2: Convert to fraction form
    210,537/323,614 = 323,614/x
  3. Step 3: Cross multiply
    210,537x = 323,614 × 323,614
  4. Step 4: Simplify right side
    210,537x = 104,726,020,996
  5. Step 5: Solve for x
    x = 104,726,020,996/210,537
  6. Step 6: Final answer
    x = 497,423.36

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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.