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Finding the Third Proportional to 158,640 and 233,574

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Solution

The third proportional to 158,640 and 233,574 is: 343,903.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,640 : 233,574 = 233,574 : x
  2. Step 2: Convert to fraction form
    158,640/233,574 = 233,574/x
  3. Step 3: Cross multiply
    158,640x = 233,574 × 233,574
  4. Step 4: Simplify right side
    158,640x = 54,556,813,476
  5. Step 5: Solve for x
    x = 54,556,813,476/158,640
  6. Step 6: Final answer
    x = 343,903.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.