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Finding the Third Proportional to 182,655 and 286,604

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Solution

The third proportional to 182,655 and 286,604 is: 449,710.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,655 : 286,604 = 286,604 : x
  2. Step 2: Convert to fraction form
    182,655/286,604 = 286,604/x
  3. Step 3: Cross multiply
    182,655x = 286,604 × 286,604
  4. Step 4: Simplify right side
    182,655x = 82,141,852,816
  5. Step 5: Solve for x
    x = 82,141,852,816/182,655
  6. Step 6: Final answer
    x = 449,710.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.