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Finding the Third Proportional to 207,752 and 296,060

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Solution

The third proportional to 207,752 and 296,060 is: 421,904.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,752 : 296,060 = 296,060 : x
  2. Step 2: Convert to fraction form
    207,752/296,060 = 296,060/x
  3. Step 3: Cross multiply
    207,752x = 296,060 × 296,060
  4. Step 4: Simplify right side
    207,752x = 87,651,523,600
  5. Step 5: Solve for x
    x = 87,651,523,600/207,752
  6. Step 6: Final answer
    x = 421,904.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.