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Finding the Third Proportional to 153,276 and 335,064

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Solution

The third proportional to 153,276 and 335,064 is: 732,455.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,276 : 335,064 = 335,064 : x
  2. Step 2: Convert to fraction form
    153,276/335,064 = 335,064/x
  3. Step 3: Cross multiply
    153,276x = 335,064 × 335,064
  4. Step 4: Simplify right side
    153,276x = 112,267,884,096
  5. Step 5: Solve for x
    x = 112,267,884,096/153,276
  6. Step 6: Final answer
    x = 732,455.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.