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Finding the Third Proportional to 108,498 and 234,835

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Solution

The third proportional to 108,498 and 234,835 is: 508,281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,498 : 234,835 = 234,835 : x
  2. Step 2: Convert to fraction form
    108,498/234,835 = 234,835/x
  3. Step 3: Cross multiply
    108,498x = 234,835 × 234,835
  4. Step 4: Simplify right side
    108,498x = 55,147,477,225
  5. Step 5: Solve for x
    x = 55,147,477,225/108,498
  6. Step 6: Final answer
    x = 508,281.05

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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.