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Finding the Third Proportional to 135,295.95 and 293,646.52

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Solution

The third proportional to 135,295.95 and 293,646.52 is: 637,330.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,295.95 : 293,646.52 = 293,646.52 : x
  2. Step 2: Convert to fraction form
    135,295.95/293,646.52 = 293,646.52/x
  3. Step 3: Cross multiply
    135,295.95x = 293,646.52 × 293,646.52
  4. Step 4: Simplify right side
    135,295.95x = 86,228,276,138.70
  5. Step 5: Solve for x
    x = 86,228,276,138.70/135,295.95
  6. Step 6: Final answer
    x = 637,330.82

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