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Finding the Third Proportional to 84,506 and 183,718

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Solution

The third proportional to 84,506 and 183,718 is: 399,407.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,506 : 183,718 = 183,718 : x
  2. Step 2: Convert to fraction form
    84,506/183,718 = 183,718/x
  3. Step 3: Cross multiply
    84,506x = 183,718 × 183,718
  4. Step 4: Simplify right side
    84,506x = 33,752,303,524
  5. Step 5: Solve for x
    x = 33,752,303,524/84,506
  6. Step 6: Final answer
    x = 399,407.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.