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Finding the Third Proportional to 147,700 and 322,133

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Solution

The third proportional to 147,700 and 322,133 is: 702,570.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,700 : 322,133 = 322,133 : x
  2. Step 2: Convert to fraction form
    147,700/322,133 = 322,133/x
  3. Step 3: Cross multiply
    147,700x = 322,133 × 322,133
  4. Step 4: Simplify right side
    147,700x = 103,769,669,689
  5. Step 5: Solve for x
    x = 103,769,669,689/147,700
  6. Step 6: Final answer
    x = 702,570.55

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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.