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Finding the Third Proportional to 98,480 and 237,420

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Solution

The third proportional to 98,480 and 237,420 is: 572,382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,480 : 237,420 = 237,420 : x
  2. Step 2: Convert to fraction form
    98,480/237,420 = 237,420/x
  3. Step 3: Cross multiply
    98,480x = 237,420 × 237,420
  4. Step 4: Simplify right side
    98,480x = 56,368,256,400
  5. Step 5: Solve for x
    x = 56,368,256,400/98,480
  6. Step 6: Final answer
    x = 572,382.78

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.