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Finding the Third Proportional to 136,346 and 292,120

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Solution

The third proportional to 136,346 and 292,120 is: 625,864.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,346 : 292,120 = 292,120 : x
  2. Step 2: Convert to fraction form
    136,346/292,120 = 292,120/x
  3. Step 3: Cross multiply
    136,346x = 292,120 × 292,120
  4. Step 4: Simplify right side
    136,346x = 85,334,094,400
  5. Step 5: Solve for x
    x = 85,334,094,400/136,346
  6. Step 6: Final answer
    x = 625,864.30

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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.