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Finding the Third Proportional to 175,415.63 and 266,814

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Solution

The third proportional to 175,415.63 and 266,814 is: 405,834.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,415.63 : 266,814 = 266,814 : x
  2. Step 2: Convert to fraction form
    175,415.63/266,814 = 266,814/x
  3. Step 3: Cross multiply
    175,415.63x = 266,814 × 266,814
  4. Step 4: Simplify right side
    175,415.63x = 71,189,710,596
  5. Step 5: Solve for x
    x = 71,189,710,596/175,415.63
  6. Step 6: Final answer
    x = 405,834.49

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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.