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Finding the Third Proportional to 148,206 and 324,522

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Solution

The third proportional to 148,206 and 324,522 is: 710,595.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,206 : 324,522 = 324,522 : x
  2. Step 2: Convert to fraction form
    148,206/324,522 = 324,522/x
  3. Step 3: Cross multiply
    148,206x = 324,522 × 324,522
  4. Step 4: Simplify right side
    148,206x = 105,314,528,484
  5. Step 5: Solve for x
    x = 105,314,528,484/148,206
  6. Step 6: Final answer
    x = 710,595.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.