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Finding the Third Proportional to 106,352 and 232,023

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Solution

The third proportional to 106,352 and 232,023 is: 506,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,352 : 232,023 = 232,023 : x
  2. Step 2: Convert to fraction form
    106,352/232,023 = 232,023/x
  3. Step 3: Cross multiply
    106,352x = 232,023 × 232,023
  4. Step 4: Simplify right side
    106,352x = 53,834,672,529
  5. Step 5: Solve for x
    x = 53,834,672,529/106,352
  6. Step 6: Final answer
    x = 506,193.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.