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Finding the Third Proportional to 108,292.50 and 237,510

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Solution

The third proportional to 108,292.50 and 237,510 is: 520,913.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,292.50 : 237,510 = 237,510 : x
  2. Step 2: Convert to fraction form
    108,292.50/237,510 = 237,510/x
  3. Step 3: Cross multiply
    108,292.50x = 237,510 × 237,510
  4. Step 4: Simplify right side
    108,292.50x = 56,411,000,100
  5. Step 5: Solve for x
    x = 56,411,000,100/108,292.50
  6. Step 6: Final answer
    x = 520,913.27

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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.