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Finding the Third Proportional to 135,472.50 and 295,075.13

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Solution

The third proportional to 135,472.50 and 295,075.13 is: 642,708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,472.50 : 295,075.13 = 295,075.13 : x
  2. Step 2: Convert to fraction form
    135,472.50/295,075.13 = 295,075.13/x
  3. Step 3: Cross multiply
    135,472.50x = 295,075.13 × 295,075.13
  4. Step 4: Simplify right side
    135,472.50x = 87,069,329,393.77
  5. Step 5: Solve for x
    x = 87,069,329,393.77/135,472.50
  6. Step 6: Final answer
    x = 642,708.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.