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Finding the Third Proportional to 139,455 and 305,532

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Solution

The third proportional to 139,455 and 305,532 is: 669,390.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,455 : 305,532 = 305,532 : x
  2. Step 2: Convert to fraction form
    139,455/305,532 = 305,532/x
  3. Step 3: Cross multiply
    139,455x = 305,532 × 305,532
  4. Step 4: Simplify right side
    139,455x = 93,349,803,024
  5. Step 5: Solve for x
    x = 93,349,803,024/139,455
  6. Step 6: Final answer
    x = 669,390.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.