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Finding the Third Proportional to 134,417 and 202,663.50

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Solution

The third proportional to 134,417 and 202,663.50 is: 305,560.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,417 : 202,663.50 = 202,663.50 : x
  2. Step 2: Convert to fraction form
    134,417/202,663.50 = 202,663.50/x
  3. Step 3: Cross multiply
    134,417x = 202,663.50 × 202,663.50
  4. Step 4: Simplify right side
    134,417x = 41,072,494,232.25
  5. Step 5: Solve for x
    x = 41,072,494,232.25/134,417
  6. Step 6: Final answer
    x = 305,560.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.