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Finding the Third Proportional to 200,970 and 312,525

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Solution

The third proportional to 200,970 and 312,525 is: 486,002.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,970 : 312,525 = 312,525 : x
  2. Step 2: Convert to fraction form
    200,970/312,525 = 312,525/x
  3. Step 3: Cross multiply
    200,970x = 312,525 × 312,525
  4. Step 4: Simplify right side
    200,970x = 97,671,875,625
  5. Step 5: Solve for x
    x = 97,671,875,625/200,970
  6. Step 6: Final answer
    x = 486,002.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.