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Finding the Third Proportional to 154,468 and 238,795.50

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Solution

The third proportional to 154,468 and 238,795.50 is: 369,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,468 : 238,795.50 = 238,795.50 : x
  2. Step 2: Convert to fraction form
    154,468/238,795.50 = 238,795.50/x
  3. Step 3: Cross multiply
    154,468x = 238,795.50 × 238,795.50
  4. Step 4: Simplify right side
    154,468x = 57,023,290,820.25
  5. Step 5: Solve for x
    x = 57,023,290,820.25/154,468
  6. Step 6: Final answer
    x = 369,159.25

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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.