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Finding the Third Proportional to 134,038.13 and 208,407.94

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Solution

The third proportional to 134,038.13 and 208,407.94 is: 324,041.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,038.13 : 208,407.94 = 208,407.94 : x
  2. Step 2: Convert to fraction form
    134,038.13/208,407.94 = 208,407.94/x
  3. Step 3: Cross multiply
    134,038.13x = 208,407.94 × 208,407.94
  4. Step 4: Simplify right side
    134,038.13x = 43,433,868,413.00
  5. Step 5: Solve for x
    x = 43,433,868,413.00/134,038.13
  6. Step 6: Final answer
    x = 324,041.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.