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Finding the Third Proportional to 155,548 and 233,444

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Solution

The third proportional to 155,548 and 233,444 is: 350,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,548 : 233,444 = 233,444 : x
  2. Step 2: Convert to fraction form
    155,548/233,444 = 233,444/x
  3. Step 3: Cross multiply
    155,548x = 233,444 × 233,444
  4. Step 4: Simplify right side
    155,548x = 54,496,101,136
  5. Step 5: Solve for x
    x = 54,496,101,136/155,548
  6. Step 6: Final answer
    x = 350,349.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.