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Finding the Third Proportional to 134,924 and 296,090

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Solution

The third proportional to 134,924 and 296,090 is: 649,767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,924 : 296,090 = 296,090 : x
  2. Step 2: Convert to fraction form
    134,924/296,090 = 296,090/x
  3. Step 3: Cross multiply
    134,924x = 296,090 × 296,090
  4. Step 4: Simplify right side
    134,924x = 87,669,288,100
  5. Step 5: Solve for x
    x = 87,669,288,100/134,924
  6. Step 6: Final answer
    x = 649,767.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.