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Finding the Third Proportional to 177,305.63 and 266,095.13

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Solution

The third proportional to 177,305.63 and 266,095.13 is: 399,347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,305.63 : 266,095.13 = 266,095.13 : x
  2. Step 2: Convert to fraction form
    177,305.63/266,095.13 = 266,095.13/x
  3. Step 3: Cross multiply
    177,305.63x = 266,095.13 × 266,095.13
  4. Step 4: Simplify right side
    177,305.63x = 70,806,615,548.77
  5. Step 5: Solve for x
    x = 70,806,615,548.77/177,305.63
  6. Step 6: Final answer
    x = 399,347.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.