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Finding the Third Proportional to 183,398 and 291,796

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Solution

The third proportional to 183,398 and 291,796 is: 464,263.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,398 : 291,796 = 291,796 : x
  2. Step 2: Convert to fraction form
    183,398/291,796 = 291,796/x
  3. Step 3: Cross multiply
    183,398x = 291,796 × 291,796
  4. Step 4: Simplify right side
    183,398x = 85,144,905,616
  5. Step 5: Solve for x
    x = 85,144,905,616/183,398
  6. Step 6: Final answer
    x = 464,263.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.