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Finding the Third Proportional to 242,084 and 373,334

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Solution

The third proportional to 242,084 and 373,334 is: 575,743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,084 : 373,334 = 373,334 : x
  2. Step 2: Convert to fraction form
    242,084/373,334 = 373,334/x
  3. Step 3: Cross multiply
    242,084x = 373,334 × 373,334
  4. Step 4: Simplify right side
    242,084x = 139,378,275,556
  5. Step 5: Solve for x
    x = 139,378,275,556/242,084
  6. Step 6: Final answer
    x = 575,743.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.