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Finding the Third Proportional to 108,520 and 234,585

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Solution

The third proportional to 108,520 and 234,585 is: 507,096.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,520 : 234,585 = 234,585 : x
  2. Step 2: Convert to fraction form
    108,520/234,585 = 234,585/x
  3. Step 3: Cross multiply
    108,520x = 234,585 × 234,585
  4. Step 4: Simplify right side
    108,520x = 55,030,122,225
  5. Step 5: Solve for x
    x = 55,030,122,225/108,520
  6. Step 6: Final answer
    x = 507,096.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.