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Finding the Third Proportional to 134,180 and 294,280

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Solution

The third proportional to 134,180 and 294,280 is: 645,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,180 : 294,280 = 294,280 : x
  2. Step 2: Convert to fraction form
    134,180/294,280 = 294,280/x
  3. Step 3: Cross multiply
    134,180x = 294,280 × 294,280
  4. Step 4: Simplify right side
    134,180x = 86,600,718,400
  5. Step 5: Solve for x
    x = 86,600,718,400/134,180
  6. Step 6: Final answer
    x = 645,407.05

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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.