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Finding the Third Proportional to 186,543 and 346,963.50

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Solution

The third proportional to 186,543 and 346,963.50 is: 645,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,543 : 346,963.50 = 346,963.50 : x
  2. Step 2: Convert to fraction form
    186,543/346,963.50 = 346,963.50/x
  3. Step 3: Cross multiply
    186,543x = 346,963.50 × 346,963.50
  4. Step 4: Simplify right side
    186,543x = 120,383,670,332.25
  5. Step 5: Solve for x
    x = 120,383,670,332.25/186,543
  6. Step 6: Final answer
    x = 645,340.06

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.