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Finding the Third Proportional to 151,533 and 224,368.50

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Solution

The third proportional to 151,533 and 224,368.50 is: 332,212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,533 : 224,368.50 = 224,368.50 : x
  2. Step 2: Convert to fraction form
    151,533/224,368.50 = 224,368.50/x
  3. Step 3: Cross multiply
    151,533x = 224,368.50 × 224,368.50
  4. Step 4: Simplify right side
    151,533x = 50,341,223,792.25
  5. Step 5: Solve for x
    x = 50,341,223,792.25/151,533
  6. Step 6: Final answer
    x = 332,212.94

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.