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Finding the Third Proportional to 151,308 and 212,055.47

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Solution

The third proportional to 151,308 and 212,055.47 is: 297,191.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,308 : 212,055.47 = 212,055.47 : x
  2. Step 2: Convert to fraction form
    151,308/212,055.47 = 212,055.47/x
  3. Step 3: Cross multiply
    151,308x = 212,055.47 × 212,055.47
  4. Step 4: Simplify right side
    151,308x = 44,967,521,826.78
  5. Step 5: Solve for x
    x = 44,967,521,826.78/151,308
  6. Step 6: Final answer
    x = 297,191.96

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.