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Finding the Third Proportional to 108,468 and 253,410

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Solution

The third proportional to 108,468 and 253,410 is: 592,032.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,468 : 253,410 = 253,410 : x
  2. Step 2: Convert to fraction form
    108,468/253,410 = 253,410/x
  3. Step 3: Cross multiply
    108,468x = 253,410 × 253,410
  4. Step 4: Simplify right side
    108,468x = 64,216,628,100
  5. Step 5: Solve for x
    x = 64,216,628,100/108,468
  6. Step 6: Final answer
    x = 592,032.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.