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Finding the Third Proportional to 161,202 and 254,169

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Solution

The third proportional to 161,202 and 254,169 is: 400,751.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,202 : 254,169 = 254,169 : x
  2. Step 2: Convert to fraction form
    161,202/254,169 = 254,169/x
  3. Step 3: Cross multiply
    161,202x = 254,169 × 254,169
  4. Step 4: Simplify right side
    161,202x = 64,601,880,561
  5. Step 5: Solve for x
    x = 64,601,880,561/161,202
  6. Step 6: Final answer
    x = 400,751.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.