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Finding the Third Proportional to 153,077 and 335,746

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Solution

The third proportional to 153,077 and 335,746 is: 736,396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,077 : 335,746 = 335,746 : x
  2. Step 2: Convert to fraction form
    153,077/335,746 = 335,746/x
  3. Step 3: Cross multiply
    153,077x = 335,746 × 335,746
  4. Step 4: Simplify right side
    153,077x = 112,725,376,516
  5. Step 5: Solve for x
    x = 112,725,376,516/153,077
  6. Step 6: Final answer
    x = 736,396.56

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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.