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Finding the Third Proportional to 132,046 and 285,133

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Solution

The third proportional to 132,046 and 285,133 is: 615,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,046 : 285,133 = 285,133 : x
  2. Step 2: Convert to fraction form
    132,046/285,133 = 285,133/x
  3. Step 3: Cross multiply
    132,046x = 285,133 × 285,133
  4. Step 4: Simplify right side
    132,046x = 81,300,827,689
  5. Step 5: Solve for x
    x = 81,300,827,689/132,046
  6. Step 6: Final answer
    x = 615,700.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.