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Finding the Third Proportional to 266,184 and 575,014

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Solution

The third proportional to 266,184 and 575,014 is: 1,242,152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,184 : 575,014 = 575,014 : x
  2. Step 2: Convert to fraction form
    266,184/575,014 = 575,014/x
  3. Step 3: Cross multiply
    266,184x = 575,014 × 575,014
  4. Step 4: Simplify right side
    266,184x = 330,641,100,196
  5. Step 5: Solve for x
    x = 330,641,100,196/266,184
  6. Step 6: Final answer
    x = 1,242,152.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.