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Finding the Third Proportional to 148,215 and 324,537

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Solution

The third proportional to 148,215 and 324,537 is: 710,618.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,215 : 324,537 = 324,537 : x
  2. Step 2: Convert to fraction form
    148,215/324,537 = 324,537/x
  3. Step 3: Cross multiply
    148,215x = 324,537 × 324,537
  4. Step 4: Simplify right side
    148,215x = 105,324,264,369
  5. Step 5: Solve for x
    x = 105,324,264,369/148,215
  6. Step 6: Final answer
    x = 710,618.12

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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.