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Finding the Third Proportional to 134,981 and 295,382

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Solution

The third proportional to 134,981 and 295,382 is: 646,391.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,981 : 295,382 = 295,382 : x
  2. Step 2: Convert to fraction form
    134,981/295,382 = 295,382/x
  3. Step 3: Cross multiply
    134,981x = 295,382 × 295,382
  4. Step 4: Simplify right side
    134,981x = 87,250,525,924
  5. Step 5: Solve for x
    x = 87,250,525,924/134,981
  6. Step 6: Final answer
    x = 646,391.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.