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Finding the Third Proportional to 114,428 and 170,994

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Solution

The third proportional to 114,428 and 170,994 is: 255,522.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,428 : 170,994 = 170,994 : x
  2. Step 2: Convert to fraction form
    114,428/170,994 = 170,994/x
  3. Step 3: Cross multiply
    114,428x = 170,994 × 170,994
  4. Step 4: Simplify right side
    114,428x = 29,238,948,036
  5. Step 5: Solve for x
    x = 29,238,948,036/114,428
  6. Step 6: Final answer
    x = 255,522.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.