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Finding the Third Proportional to 237,075 and 360,220.50

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Solution

The third proportional to 237,075 and 360,220.50 is: 547,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,075 : 360,220.50 = 360,220.50 : x
  2. Step 2: Convert to fraction form
    237,075/360,220.50 = 360,220.50/x
  3. Step 3: Cross multiply
    237,075x = 360,220.50 × 360,220.50
  4. Step 4: Simplify right side
    237,075x = 129,758,808,620.25
  5. Step 5: Solve for x
    x = 129,758,808,620.25/237,075
  6. Step 6: Final answer
    x = 547,332.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.