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Finding the Third Proportional to 186,381.84 and 291,567.09

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Solution

The third proportional to 186,381.84 and 291,567.09 is: 456,114.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,381.84 : 291,567.09 = 291,567.09 : x
  2. Step 2: Convert to fraction form
    186,381.84/291,567.09 = 291,567.09/x
  3. Step 3: Cross multiply
    186,381.84x = 291,567.09 × 291,567.09
  4. Step 4: Simplify right side
    186,381.84x = 85,011,370,157.82
  5. Step 5: Solve for x
    x = 85,011,370,157.82/186,381.84
  6. Step 6: Final answer
    x = 456,114.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.