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Finding the Third Proportional to 242,560 and 374,208

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Solution

The third proportional to 242,560 and 374,208 is: 577,307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,560 : 374,208 = 374,208 : x
  2. Step 2: Convert to fraction form
    242,560/374,208 = 374,208/x
  3. Step 3: Cross multiply
    242,560x = 374,208 × 374,208
  4. Step 4: Simplify right side
    242,560x = 140,031,627,264
  5. Step 5: Solve for x
    x = 140,031,627,264/242,560
  6. Step 6: Final answer
    x = 577,307.17

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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.