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Finding the Third Proportional to 210,600 and 323,541

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Solution

The third proportional to 210,600 and 323,541 is: 497,050.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,600 : 323,541 = 323,541 : x
  2. Step 2: Convert to fraction form
    210,600/323,541 = 323,541/x
  3. Step 3: Cross multiply
    210,600x = 323,541 × 323,541
  4. Step 4: Simplify right side
    210,600x = 104,678,778,681
  5. Step 5: Solve for x
    x = 104,678,778,681/210,600
  6. Step 6: Final answer
    x = 497,050.23

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