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Finding the Third Proportional to 102,075.19 and 234,289.97

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Solution

The third proportional to 102,075.19 and 234,289.97 is: 537,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,075.19 : 234,289.97 = 234,289.97 : x
  2. Step 2: Convert to fraction form
    102,075.19/234,289.97 = 234,289.97/x
  3. Step 3: Cross multiply
    102,075.19x = 234,289.97 × 234,289.97
  4. Step 4: Simplify right side
    102,075.19x = 54,891,789,456.88
  5. Step 5: Solve for x
    x = 54,891,789,456.88/102,075.19
  6. Step 6: Final answer
    x = 537,758.40

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.