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Finding the Third Proportional to 147,462.50 and 322,522

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Solution

The third proportional to 147,462.50 and 322,522 is: 705,402.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,462.50 : 322,522 = 322,522 : x
  2. Step 2: Convert to fraction form
    147,462.50/322,522 = 322,522/x
  3. Step 3: Cross multiply
    147,462.50x = 322,522 × 322,522
  4. Step 4: Simplify right side
    147,462.50x = 104,020,440,484
  5. Step 5: Solve for x
    x = 104,020,440,484/147,462.50
  6. Step 6: Final answer
    x = 705,402.66

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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.