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Finding the Third Proportional to 136,224 and 291,072

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Solution

The third proportional to 136,224 and 291,072 is: 621,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,224 : 291,072 = 291,072 : x
  2. Step 2: Convert to fraction form
    136,224/291,072 = 291,072/x
  3. Step 3: Cross multiply
    136,224x = 291,072 × 291,072
  4. Step 4: Simplify right side
    136,224x = 84,722,909,184
  5. Step 5: Solve for x
    x = 84,722,909,184/136,224
  6. Step 6: Final answer
    x = 621,938.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.