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Finding the Third Proportional to 155,097 and 233,943

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Solution

The third proportional to 155,097 and 233,943 is: 352,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,097 : 233,943 = 233,943 : x
  2. Step 2: Convert to fraction form
    155,097/233,943 = 233,943/x
  3. Step 3: Cross multiply
    155,097x = 233,943 × 233,943
  4. Step 4: Simplify right side
    155,097x = 54,729,327,249
  5. Step 5: Solve for x
    x = 54,729,327,249/155,097
  6. Step 6: Final answer
    x = 352,871.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.