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Finding the Third Proportional to 242,111 and 373,373

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Solution

The third proportional to 242,111 and 373,373 is: 575,799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,111 : 373,373 = 373,373 : x
  2. Step 2: Convert to fraction form
    242,111/373,373 = 373,373/x
  3. Step 3: Cross multiply
    242,111x = 373,373 × 373,373
  4. Step 4: Simplify right side
    242,111x = 139,407,397,129
  5. Step 5: Solve for x
    x = 139,407,397,129/242,111
  6. Step 6: Final answer
    x = 575,799.52

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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.