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Finding the Third Proportional to 186,363 and 295,560

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Solution

The third proportional to 186,363 and 295,560 is: 468,739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,363 : 295,560 = 295,560 : x
  2. Step 2: Convert to fraction form
    186,363/295,560 = 295,560/x
  3. Step 3: Cross multiply
    186,363x = 295,560 × 295,560
  4. Step 4: Simplify right side
    186,363x = 87,355,713,600
  5. Step 5: Solve for x
    x = 87,355,713,600/186,363
  6. Step 6: Final answer
    x = 468,739.58

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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.