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Finding the Third Proportional to 152,964 and 336,512.25

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Solution

The third proportional to 152,964 and 336,512.25 is: 740,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,964 : 336,512.25 = 336,512.25 : x
  2. Step 2: Convert to fraction form
    152,964/336,512.25 = 336,512.25/x
  3. Step 3: Cross multiply
    152,964x = 336,512.25 × 336,512.25
  4. Step 4: Simplify right side
    152,964x = 113,240,494,400.06
  5. Step 5: Solve for x
    x = 113,240,494,400.06/152,964
  6. Step 6: Final answer
    x = 740,308.14

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.