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Finding the Third Proportional to 208,158 and 438,066

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Solution

The third proportional to 208,158 and 438,066 is: 921,904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,158 : 438,066 = 438,066 : x
  2. Step 2: Convert to fraction form
    208,158/438,066 = 438,066/x
  3. Step 3: Cross multiply
    208,158x = 438,066 × 438,066
  4. Step 4: Simplify right side
    208,158x = 191,901,820,356
  5. Step 5: Solve for x
    x = 191,901,820,356/208,158
  6. Step 6: Final answer
    x = 921,904.61

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.