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Finding the Third Proportional to 130,752 and 202,824

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Solution

The third proportional to 130,752 and 202,824 is: 314,622.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,752 : 202,824 = 202,824 : x
  2. Step 2: Convert to fraction form
    130,752/202,824 = 202,824/x
  3. Step 3: Cross multiply
    130,752x = 202,824 × 202,824
  4. Step 4: Simplify right side
    130,752x = 41,137,574,976
  5. Step 5: Solve for x
    x = 41,137,574,976/130,752
  6. Step 6: Final answer
    x = 314,622.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.