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Finding the Third Proportional to 151,590 and 210,229.50

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Solution

The third proportional to 151,590 and 210,229.50 is: 291,552.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,590 : 210,229.50 = 210,229.50 : x
  2. Step 2: Convert to fraction form
    151,590/210,229.50 = 210,229.50/x
  3. Step 3: Cross multiply
    151,590x = 210,229.50 × 210,229.50
  4. Step 4: Simplify right side
    151,590x = 44,196,442,670.25
  5. Step 5: Solve for x
    x = 44,196,442,670.25/151,590
  6. Step 6: Final answer
    x = 291,552.49

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.