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Finding the Third Proportional to 157,746.75 and 342,009.75

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Solution

The third proportional to 157,746.75 and 342,009.75 is: 741,509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,746.75 : 342,009.75 = 342,009.75 : x
  2. Step 2: Convert to fraction form
    157,746.75/342,009.75 = 342,009.75/x
  3. Step 3: Cross multiply
    157,746.75x = 342,009.75 × 342,009.75
  4. Step 4: Simplify right side
    157,746.75x = 116,970,669,095.06
  5. Step 5: Solve for x
    x = 116,970,669,095.06/157,746.75
  6. Step 6: Final answer
    x = 741,509.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.