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Finding the Third Proportional to 120,973.50 and 266,098.50

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Solution

The third proportional to 120,973.50 and 266,098.50 is: 585,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,973.50 : 266,098.50 = 266,098.50 : x
  2. Step 2: Convert to fraction form
    120,973.50/266,098.50 = 266,098.50/x
  3. Step 3: Cross multiply
    120,973.50x = 266,098.50 × 266,098.50
  4. Step 4: Simplify right side
    120,973.50x = 70,808,411,702.25
  5. Step 5: Solve for x
    x = 70,808,411,702.25/120,973.50
  6. Step 6: Final answer
    x = 585,321.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.