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Finding the Third Proportional to 155,136 and 235,584

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Solution

The third proportional to 155,136 and 235,584 is: 357,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,136 : 235,584 = 235,584 : x
  2. Step 2: Convert to fraction form
    155,136/235,584 = 235,584/x
  3. Step 3: Cross multiply
    155,136x = 235,584 × 235,584
  4. Step 4: Simplify right side
    155,136x = 55,499,821,056
  5. Step 5: Solve for x
    x = 55,499,821,056/155,136
  6. Step 6: Final answer
    x = 357,749.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.