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Finding the Third Proportional to 142,765 and 305,752

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Solution

The third proportional to 142,765 and 305,752 is: 654,812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,765 : 305,752 = 305,752 : x
  2. Step 2: Convert to fraction form
    142,765/305,752 = 305,752/x
  3. Step 3: Cross multiply
    142,765x = 305,752 × 305,752
  4. Step 4: Simplify right side
    142,765x = 93,484,285,504
  5. Step 5: Solve for x
    x = 93,484,285,504/142,765
  6. Step 6: Final answer
    x = 654,812.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.