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Finding the Third Proportional to 132,798 and 286,332

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Solution

The third proportional to 132,798 and 286,332 is: 617,373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,798 : 286,332 = 286,332 : x
  2. Step 2: Convert to fraction form
    132,798/286,332 = 286,332/x
  3. Step 3: Cross multiply
    132,798x = 286,332 × 286,332
  4. Step 4: Simplify right side
    132,798x = 81,986,014,224
  5. Step 5: Solve for x
    x = 81,986,014,224/132,798
  6. Step 6: Final answer
    x = 617,373.86

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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.