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Finding the Third Proportional to 182,657 and 286,607

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Solution

The third proportional to 182,657 and 286,607 is: 449,714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,657 : 286,607 = 286,607 : x
  2. Step 2: Convert to fraction form
    182,657/286,607 = 286,607/x
  3. Step 3: Cross multiply
    182,657x = 286,607 × 286,607
  4. Step 4: Simplify right side
    182,657x = 82,143,572,449
  5. Step 5: Solve for x
    x = 82,143,572,449/182,657
  6. Step 6: Final answer
    x = 449,714.89

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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.