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Finding the Third Proportional to 145,592 and 320,452

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Solution

The third proportional to 145,592 and 320,452 is: 705,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,592 : 320,452 = 320,452 : x
  2. Step 2: Convert to fraction form
    145,592/320,452 = 320,452/x
  3. Step 3: Cross multiply
    145,592x = 320,452 × 320,452
  4. Step 4: Simplify right side
    145,592x = 102,689,484,304
  5. Step 5: Solve for x
    x = 102,689,484,304/145,592
  6. Step 6: Final answer
    x = 705,323.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.