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Finding the Third Proportional to 147,329 and 322,522

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Solution

The third proportional to 147,329 and 322,522 is: 706,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,329 : 322,522 = 322,522 : x
  2. Step 2: Convert to fraction form
    147,329/322,522 = 322,522/x
  3. Step 3: Cross multiply
    147,329x = 322,522 × 322,522
  4. Step 4: Simplify right side
    147,329x = 104,020,440,484
  5. Step 5: Solve for x
    x = 104,020,440,484/147,329
  6. Step 6: Final answer
    x = 706,041.86

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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.