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Finding the Third Proportional to 134,382 and 293,324

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Solution

The third proportional to 134,382 and 293,324 is: 640,256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,382 : 293,324 = 293,324 : x
  2. Step 2: Convert to fraction form
    134,382/293,324 = 293,324/x
  3. Step 3: Cross multiply
    134,382x = 293,324 × 293,324
  4. Step 4: Simplify right side
    134,382x = 86,038,968,976
  5. Step 5: Solve for x
    x = 86,038,968,976/134,382
  6. Step 6: Final answer
    x = 640,256.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.