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Finding the Third Proportional to 190,562 and 296,724

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Solution

The third proportional to 190,562 and 296,724 is: 462,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,562 : 296,724 = 296,724 : x
  2. Step 2: Convert to fraction form
    190,562/296,724 = 296,724/x
  3. Step 3: Cross multiply
    190,562x = 296,724 × 296,724
  4. Step 4: Simplify right side
    190,562x = 88,045,132,176
  5. Step 5: Solve for x
    x = 88,045,132,176/190,562
  6. Step 6: Final answer
    x = 462,028.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.