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Finding the Third Proportional to 187,362 and 291,979.50

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Solution

The third proportional to 187,362 and 291,979.50 is: 455,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,362 : 291,979.50 = 291,979.50 : x
  2. Step 2: Convert to fraction form
    187,362/291,979.50 = 291,979.50/x
  3. Step 3: Cross multiply
    187,362x = 291,979.50 × 291,979.50
  4. Step 4: Simplify right side
    187,362x = 85,252,028,420.25
  5. Step 5: Solve for x
    x = 85,252,028,420.25/187,362
  6. Step 6: Final answer
    x = 455,012.37

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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.