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Finding the Third Proportional to 203,484 and 299,341.50

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Solution

The third proportional to 203,484 and 299,341.50 is: 440,355.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,484 : 299,341.50 = 299,341.50 : x
  2. Step 2: Convert to fraction form
    203,484/299,341.50 = 299,341.50/x
  3. Step 3: Cross multiply
    203,484x = 299,341.50 × 299,341.50
  4. Step 4: Simplify right side
    203,484x = 89,605,333,622.25
  5. Step 5: Solve for x
    x = 89,605,333,622.25/203,484
  6. Step 6: Final answer
    x = 440,355.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.