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Finding the Third Proportional to 296,094 and 442,166.25

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Solution

The third proportional to 296,094 and 442,166.25 is: 660,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,094 : 442,166.25 = 442,166.25 : x
  2. Step 2: Convert to fraction form
    296,094/442,166.25 = 442,166.25/x
  3. Step 3: Cross multiply
    296,094x = 442,166.25 × 442,166.25
  4. Step 4: Simplify right side
    296,094x = 195,510,992,639.06
  5. Step 5: Solve for x
    x = 195,510,992,639.06/296,094
  6. Step 6: Final answer
    x = 660,300.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.