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Finding the Third Proportional to 186,188.63 and 294,961.50

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Solution

The third proportional to 186,188.63 and 294,961.50 is: 467,280.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,188.63 : 294,961.50 = 294,961.50 : x
  2. Step 2: Convert to fraction form
    186,188.63/294,961.50 = 294,961.50/x
  3. Step 3: Cross multiply
    186,188.63x = 294,961.50 × 294,961.50
  4. Step 4: Simplify right side
    186,188.63x = 87,002,286,482.25
  5. Step 5: Solve for x
    x = 87,002,286,482.25/186,188.63
  6. Step 6: Final answer
    x = 467,280.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.