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Finding the Third Proportional to 242,223 and 531,102

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Solution

The third proportional to 242,223 and 531,102 is: 1,164,502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,223 : 531,102 = 531,102 : x
  2. Step 2: Convert to fraction form
    242,223/531,102 = 531,102/x
  3. Step 3: Cross multiply
    242,223x = 531,102 × 531,102
  4. Step 4: Simplify right side
    242,223x = 282,069,334,404
  5. Step 5: Solve for x
    x = 282,069,334,404/242,223
  6. Step 6: Final answer
    x = 1,164,502.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.