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Finding the Third Proportional to 186,334 and 286,752

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Solution

The third proportional to 186,334 and 286,752 is: 441,286.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,334 : 286,752 = 286,752 : x
  2. Step 2: Convert to fraction form
    186,334/286,752 = 286,752/x
  3. Step 3: Cross multiply
    186,334x = 286,752 × 286,752
  4. Step 4: Simplify right side
    186,334x = 82,226,709,504
  5. Step 5: Solve for x
    x = 82,226,709,504/186,334
  6. Step 6: Final answer
    x = 441,286.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.