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Finding the Third Proportional to 187,070.34 and 285,276.09

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Solution

The third proportional to 187,070.34 and 285,276.09 is: 435,036.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,070.34 : 285,276.09 = 285,276.09 : x
  2. Step 2: Convert to fraction form
    187,070.34/285,276.09 = 285,276.09/x
  3. Step 3: Cross multiply
    187,070.34x = 285,276.09 × 285,276.09
  4. Step 4: Simplify right side
    187,070.34x = 81,382,449,665.26
  5. Step 5: Solve for x
    x = 81,382,449,665.26/187,070.34
  6. Step 6: Final answer
    x = 435,036.62

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.