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Finding the Third Proportional to 140,488.50 and 301,075.13

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Solution

The third proportional to 140,488.50 and 301,075.13 is: 645,221.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,488.50 : 301,075.13 = 301,075.13 : x
  2. Step 2: Convert to fraction form
    140,488.50/301,075.13 = 301,075.13/x
  3. Step 3: Cross multiply
    140,488.50x = 301,075.13 × 301,075.13
  4. Step 4: Simplify right side
    140,488.50x = 90,646,230,893.77
  5. Step 5: Solve for x
    x = 90,646,230,893.77/140,488.50
  6. Step 6: Final answer
    x = 645,221.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.