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Finding the Third Proportional to 242,547 and 372,299

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Solution

The third proportional to 242,547 and 372,299 is: 571,462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,547 : 372,299 = 372,299 : x
  2. Step 2: Convert to fraction form
    242,547/372,299 = 372,299/x
  3. Step 3: Cross multiply
    242,547x = 372,299 × 372,299
  4. Step 4: Simplify right side
    242,547x = 138,606,545,401
  5. Step 5: Solve for x
    x = 138,606,545,401/242,547
  6. Step 6: Final answer
    x = 571,462.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.