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Finding the Third Proportional to 187,314.19 and 292,461.75

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Solution

The third proportional to 187,314.19 and 292,461.75 is: 456,633.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,314.19 : 292,461.75 = 292,461.75 : x
  2. Step 2: Convert to fraction form
    187,314.19/292,461.75 = 292,461.75/x
  3. Step 3: Cross multiply
    187,314.19x = 292,461.75 × 292,461.75
  4. Step 4: Simplify right side
    187,314.19x = 85,533,875,213.06
  5. Step 5: Solve for x
    x = 85,533,875,213.06/187,314.19
  6. Step 6: Final answer
    x = 456,633.19

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