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Finding the Third Proportional to 134,994 and 286,632

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Solution

The third proportional to 134,994 and 286,632 is: 608,604.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,994 : 286,632 = 286,632 : x
  2. Step 2: Convert to fraction form
    134,994/286,632 = 286,632/x
  3. Step 3: Cross multiply
    134,994x = 286,632 × 286,632
  4. Step 4: Simplify right side
    134,994x = 82,157,903,424
  5. Step 5: Solve for x
    x = 82,157,903,424/134,994
  6. Step 6: Final answer
    x = 608,604.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.