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Finding the Third Proportional to 182,475 and 290,574

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Solution

The third proportional to 182,475 and 290,574 is: 462,711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,475 : 290,574 = 290,574 : x
  2. Step 2: Convert to fraction form
    182,475/290,574 = 290,574/x
  3. Step 3: Cross multiply
    182,475x = 290,574 × 290,574
  4. Step 4: Simplify right side
    182,475x = 84,433,249,476
  5. Step 5: Solve for x
    x = 84,433,249,476/182,475
  6. Step 6: Final answer
    x = 462,711.33

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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.