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Finding the Third Proportional to 152,136 and 238,648.50

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Solution

The third proportional to 152,136 and 238,648.50 is: 374,356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,136 : 238,648.50 = 238,648.50 : x
  2. Step 2: Convert to fraction form
    152,136/238,648.50 = 238,648.50/x
  3. Step 3: Cross multiply
    152,136x = 238,648.50 × 238,648.50
  4. Step 4: Simplify right side
    152,136x = 56,953,106,552.25
  5. Step 5: Solve for x
    x = 56,953,106,552.25/152,136
  6. Step 6: Final answer
    x = 374,356.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.