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Finding the Third Proportional to 145,804.88 and 238,087.13

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Solution

The third proportional to 145,804.88 and 238,087.13 is: 388,776.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,804.88 : 238,087.13 = 238,087.13 : x
  2. Step 2: Convert to fraction form
    145,804.88/238,087.13 = 238,087.13/x
  3. Step 3: Cross multiply
    145,804.88x = 238,087.13 × 238,087.13
  4. Step 4: Simplify right side
    145,804.88x = 56,685,479,090.77
  5. Step 5: Solve for x
    x = 56,685,479,090.77/145,804.88
  6. Step 6: Final answer
    x = 388,776.29

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.