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Finding the Third Proportional to 83,413 and 183,430

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Solution

The third proportional to 83,413 and 183,430 is: 403,373.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,413 : 183,430 = 183,430 : x
  2. Step 2: Convert to fraction form
    83,413/183,430 = 183,430/x
  3. Step 3: Cross multiply
    83,413x = 183,430 × 183,430
  4. Step 4: Simplify right side
    83,413x = 33,646,564,900
  5. Step 5: Solve for x
    x = 33,646,564,900/83,413
  6. Step 6: Final answer
    x = 403,373.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.