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Finding the Third Proportional to 147,650 and 322,362

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Solution

The third proportional to 147,650 and 322,362 is: 703,808.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,650 : 322,362 = 322,362 : x
  2. Step 2: Convert to fraction form
    147,650/322,362 = 322,362/x
  3. Step 3: Cross multiply
    147,650x = 322,362 × 322,362
  4. Step 4: Simplify right side
    147,650x = 103,917,259,044
  5. Step 5: Solve for x
    x = 103,917,259,044/147,650
  6. Step 6: Final answer
    x = 703,808.05

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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.