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Finding the Third Proportional to 147,706 and 322,146

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Solution

The third proportional to 147,706 and 322,146 is: 702,598.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,706 : 322,146 = 322,146 : x
  2. Step 2: Convert to fraction form
    147,706/322,146 = 322,146/x
  3. Step 3: Cross multiply
    147,706x = 322,146 × 322,146
  4. Step 4: Simplify right side
    147,706x = 103,778,045,316
  5. Step 5: Solve for x
    x = 103,778,045,316/147,706
  6. Step 6: Final answer
    x = 702,598.71

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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.