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Finding the Third Proportional to 98,465 and 237,390

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Solution

The third proportional to 98,465 and 237,390 is: 572,325.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,465 : 237,390 = 237,390 : x
  2. Step 2: Convert to fraction form
    98,465/237,390 = 237,390/x
  3. Step 3: Cross multiply
    98,465x = 237,390 × 237,390
  4. Step 4: Simplify right side
    98,465x = 56,354,012,100
  5. Step 5: Solve for x
    x = 56,354,012,100/98,465
  6. Step 6: Final answer
    x = 572,325.31

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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.