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Finding the Third Proportional to 155,270 and 233,683

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Solution

The third proportional to 155,270 and 233,683 is: 351,695.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,270 : 233,683 = 233,683 : x
  2. Step 2: Convert to fraction form
    155,270/233,683 = 233,683/x
  3. Step 3: Cross multiply
    155,270x = 233,683 × 233,683
  4. Step 4: Simplify right side
    155,270x = 54,607,744,489
  5. Step 5: Solve for x
    x = 54,607,744,489/155,270
  6. Step 6: Final answer
    x = 351,695.40

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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.