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Finding the Third Proportional to 108,490 and 235,023

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Solution

The third proportional to 108,490 and 235,023 is: 509,132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,490 : 235,023 = 235,023 : x
  2. Step 2: Convert to fraction form
    108,490/235,023 = 235,023/x
  3. Step 3: Cross multiply
    108,490x = 235,023 × 235,023
  4. Step 4: Simplify right side
    108,490x = 55,235,810,529
  5. Step 5: Solve for x
    x = 55,235,810,529/108,490
  6. Step 6: Final answer
    x = 509,132.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.