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Finding the Third Proportional to 114,669.84 and 233,145.84

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Solution

The third proportional to 114,669.84 and 233,145.84 is: 474,030.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,669.84 : 233,145.84 = 233,145.84 : x
  2. Step 2: Convert to fraction form
    114,669.84/233,145.84 = 233,145.84/x
  3. Step 3: Cross multiply
    114,669.84x = 233,145.84 × 233,145.84
  4. Step 4: Simplify right side
    114,669.84x = 54,356,984,457.90
  5. Step 5: Solve for x
    x = 54,356,984,457.90/114,669.84
  6. Step 6: Final answer
    x = 474,030.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.