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Finding the Third Proportional to 139,412 and 305,506

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Solution

The third proportional to 139,412 and 305,506 is: 669,482.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,412 : 305,506 = 305,506 : x
  2. Step 2: Convert to fraction form
    139,412/305,506 = 305,506/x
  3. Step 3: Cross multiply
    139,412x = 305,506 × 305,506
  4. Step 4: Simplify right side
    139,412x = 93,333,916,036
  5. Step 5: Solve for x
    x = 93,333,916,036/139,412
  6. Step 6: Final answer
    x = 669,482.66

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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.