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Finding the Third Proportional to 152,760 and 334,896

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Solution

The third proportional to 152,760 and 334,896 is: 734,193.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,760 : 334,896 = 334,896 : x
  2. Step 2: Convert to fraction form
    152,760/334,896 = 334,896/x
  3. Step 3: Cross multiply
    152,760x = 334,896 × 334,896
  4. Step 4: Simplify right side
    152,760x = 112,155,330,816
  5. Step 5: Solve for x
    x = 112,155,330,816/152,760
  6. Step 6: Final answer
    x = 734,193.05

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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.