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Finding the Third Proportional to 136,756 and 295,382

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Solution

The third proportional to 136,756 and 295,382 is: 638,001.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,756 : 295,382 = 295,382 : x
  2. Step 2: Convert to fraction form
    136,756/295,382 = 295,382/x
  3. Step 3: Cross multiply
    136,756x = 295,382 × 295,382
  4. Step 4: Simplify right side
    136,756x = 87,250,525,924
  5. Step 5: Solve for x
    x = 87,250,525,924/136,756
  6. Step 6: Final answer
    x = 638,001.45

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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.