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Finding the Third Proportional to 134,117 and 293,146

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Solution

The third proportional to 134,117 and 293,146 is: 640,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,117 : 293,146 = 293,146 : x
  2. Step 2: Convert to fraction form
    134,117/293,146 = 293,146/x
  3. Step 3: Cross multiply
    134,117x = 293,146 × 293,146
  4. Step 4: Simplify right side
    134,117x = 85,934,577,316
  5. Step 5: Solve for x
    x = 85,934,577,316/134,117
  6. Step 6: Final answer
    x = 640,743.36

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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.