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Finding the Third Proportional to 135,327 and 306,079.50

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Solution

The third proportional to 135,327 and 306,079.50 is: 692,283.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,327 : 306,079.50 = 306,079.50 : x
  2. Step 2: Convert to fraction form
    135,327/306,079.50 = 306,079.50/x
  3. Step 3: Cross multiply
    135,327x = 306,079.50 × 306,079.50
  4. Step 4: Simplify right side
    135,327x = 93,684,660,320.25
  5. Step 5: Solve for x
    x = 93,684,660,320.25/135,327
  6. Step 6: Final answer
    x = 692,283.58

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.