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Finding the Third Proportional to 153,446 and 334,772

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Solution

The third proportional to 153,446 and 334,772 is: 730,369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,446 : 334,772 = 334,772 : x
  2. Step 2: Convert to fraction form
    153,446/334,772 = 334,772/x
  3. Step 3: Cross multiply
    153,446x = 334,772 × 334,772
  4. Step 4: Simplify right side
    153,446x = 112,072,291,984
  5. Step 5: Solve for x
    x = 112,072,291,984/153,446
  6. Step 6: Final answer
    x = 730,369.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.