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Finding the Third Proportional to 186,512 and 295,784

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Solution

The third proportional to 186,512 and 295,784 is: 469,075.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,512 : 295,784 = 295,784 : x
  2. Step 2: Convert to fraction form
    186,512/295,784 = 295,784/x
  3. Step 3: Cross multiply
    186,512x = 295,784 × 295,784
  4. Step 4: Simplify right side
    186,512x = 87,488,174,656
  5. Step 5: Solve for x
    x = 87,488,174,656/186,512
  6. Step 6: Final answer
    x = 469,075.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.