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Finding the Third Proportional to 119,852.25 and 266,308.50

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Solution

The third proportional to 119,852.25 and 266,308.50 is: 591,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,852.25 : 266,308.50 = 266,308.50 : x
  2. Step 2: Convert to fraction form
    119,852.25/266,308.50 = 266,308.50/x
  3. Step 3: Cross multiply
    119,852.25x = 266,308.50 × 266,308.50
  4. Step 4: Simplify right side
    119,852.25x = 70,920,217,172.25
  5. Step 5: Solve for x
    x = 70,920,217,172.25/119,852.25
  6. Step 6: Final answer
    x = 591,730.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.