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Finding the Third Proportional to 183,830 and 294,941

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Solution

The third proportional to 183,830 and 294,941 is: 473,210.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,830 : 294,941 = 294,941 : x
  2. Step 2: Convert to fraction form
    183,830/294,941 = 294,941/x
  3. Step 3: Cross multiply
    183,830x = 294,941 × 294,941
  4. Step 4: Simplify right side
    183,830x = 86,990,193,481
  5. Step 5: Solve for x
    x = 86,990,193,481/183,830
  6. Step 6: Final answer
    x = 473,210.00

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.