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Finding the Third Proportional to 134,120 and 291,308

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Solution

The third proportional to 134,120 and 291,308 is: 632,719.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,120 : 291,308 = 291,308 : x
  2. Step 2: Convert to fraction form
    134,120/291,308 = 291,308/x
  3. Step 3: Cross multiply
    134,120x = 291,308 × 291,308
  4. Step 4: Simplify right side
    134,120x = 84,860,350,864
  5. Step 5: Solve for x
    x = 84,860,350,864/134,120
  6. Step 6: Final answer
    x = 632,719.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.