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Finding the Third Proportional to 130,752 and 200,340

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Solution

The third proportional to 130,752 and 200,340 is: 306,963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,752 : 200,340 = 200,340 : x
  2. Step 2: Convert to fraction form
    130,752/200,340 = 200,340/x
  3. Step 3: Cross multiply
    130,752x = 200,340 × 200,340
  4. Step 4: Simplify right side
    130,752x = 40,136,115,600
  5. Step 5: Solve for x
    x = 40,136,115,600/130,752
  6. Step 6: Final answer
    x = 306,963.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.