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Finding the Third Proportional to 133,911 and 207,256.50

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Solution

The third proportional to 133,911 and 207,256.50 is: 320,774.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,911 : 207,256.50 = 207,256.50 : x
  2. Step 2: Convert to fraction form
    133,911/207,256.50 = 207,256.50/x
  3. Step 3: Cross multiply
    133,911x = 207,256.50 × 207,256.50
  4. Step 4: Simplify right side
    133,911x = 42,955,256,792.25
  5. Step 5: Solve for x
    x = 42,955,256,792.25/133,911
  6. Step 6: Final answer
    x = 320,774.67

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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.