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Finding the Third Proportional to 154,281 and 238,792.50

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Solution

The third proportional to 154,281 and 238,792.50 is: 369,597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,281 : 238,792.50 = 238,792.50 : x
  2. Step 2: Convert to fraction form
    154,281/238,792.50 = 238,792.50/x
  3. Step 3: Cross multiply
    154,281x = 238,792.50 × 238,792.50
  4. Step 4: Simplify right side
    154,281x = 57,021,858,056.25
  5. Step 5: Solve for x
    x = 57,021,858,056.25/154,281
  6. Step 6: Final answer
    x = 369,597.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.