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Finding the Third Proportional to 156,575 and 349,007

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Solution

The third proportional to 156,575 and 349,007 is: 777,939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,575 : 349,007 = 349,007 : x
  2. Step 2: Convert to fraction form
    156,575/349,007 = 349,007/x
  3. Step 3: Cross multiply
    156,575x = 349,007 × 349,007
  4. Step 4: Simplify right side
    156,575x = 121,805,886,049
  5. Step 5: Solve for x
    x = 121,805,886,049/156,575
  6. Step 6: Final answer
    x = 777,939.56

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.