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Finding the Third Proportional to 187,953.19 and 405,248.63

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Solution

The third proportional to 187,953.19 and 405,248.63 is: 873,762.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,953.19 : 405,248.63 = 405,248.63 : x
  2. Step 2: Convert to fraction form
    187,953.19/405,248.63 = 405,248.63/x
  3. Step 3: Cross multiply
    187,953.19x = 405,248.63 × 405,248.63
  4. Step 4: Simplify right side
    187,953.19x = 164,226,448,064.39
  5. Step 5: Solve for x
    x = 164,226,448,064.39/187,953.19
  6. Step 6: Final answer
    x = 873,762.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.