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Finding the Third Proportional to 133,266.25 and 314,595.50

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Solution

The third proportional to 133,266.25 and 314,595.50 is: 742,651.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,266.25 : 314,595.50 = 314,595.50 : x
  2. Step 2: Convert to fraction form
    133,266.25/314,595.50 = 314,595.50/x
  3. Step 3: Cross multiply
    133,266.25x = 314,595.50 × 314,595.50
  4. Step 4: Simplify right side
    133,266.25x = 98,970,328,620.25
  5. Step 5: Solve for x
    x = 98,970,328,620.25/133,266.25
  6. Step 6: Final answer
    x = 742,651.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.