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Finding the Third Proportional to 136,429 and 210,475.50

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Solution

The third proportional to 136,429 and 210,475.50 is: 324,710.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,429 : 210,475.50 = 210,475.50 : x
  2. Step 2: Convert to fraction form
    136,429/210,475.50 = 210,475.50/x
  3. Step 3: Cross multiply
    136,429x = 210,475.50 × 210,475.50
  4. Step 4: Simplify right side
    136,429x = 44,299,936,100.25
  5. Step 5: Solve for x
    x = 44,299,936,100.25/136,429
  6. Step 6: Final answer
    x = 324,710.55

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.