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Finding the Third Proportional to 185,280 and 294,720

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Solution

The third proportional to 185,280 and 294,720 is: 468,803.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,280 : 294,720 = 294,720 : x
  2. Step 2: Convert to fraction form
    185,280/294,720 = 294,720/x
  3. Step 3: Cross multiply
    185,280x = 294,720 × 294,720
  4. Step 4: Simplify right side
    185,280x = 86,859,878,400
  5. Step 5: Solve for x
    x = 86,859,878,400/185,280
  6. Step 6: Final answer
    x = 468,803.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.