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Finding the Third Proportional to 142,965 and 305,563

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Solution

The third proportional to 142,965 and 305,563 is: 653,088.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,965 : 305,563 = 305,563 : x
  2. Step 2: Convert to fraction form
    142,965/305,563 = 305,563/x
  3. Step 3: Cross multiply
    142,965x = 305,563 × 305,563
  4. Step 4: Simplify right side
    142,965x = 93,368,746,969
  5. Step 5: Solve for x
    x = 93,368,746,969/142,965
  6. Step 6: Final answer
    x = 653,088.15

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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.