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Finding the Third Proportional to 152,756 and 335,038

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Solution

The third proportional to 152,756 and 335,038 is: 734,835.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,756 : 335,038 = 335,038 : x
  2. Step 2: Convert to fraction form
    152,756/335,038 = 335,038/x
  3. Step 3: Cross multiply
    152,756x = 335,038 × 335,038
  4. Step 4: Simplify right side
    152,756x = 112,250,461,444
  5. Step 5: Solve for x
    x = 112,250,461,444/152,756
  6. Step 6: Final answer
    x = 734,835.04

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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.