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Finding the Third Proportional to 145,980 and 310,784

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Solution

The third proportional to 145,980 and 310,784 is: 661,643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,980 : 310,784 = 310,784 : x
  2. Step 2: Convert to fraction form
    145,980/310,784 = 310,784/x
  3. Step 3: Cross multiply
    145,980x = 310,784 × 310,784
  4. Step 4: Simplify right side
    145,980x = 96,586,694,656
  5. Step 5: Solve for x
    x = 96,586,694,656/145,980
  6. Step 6: Final answer
    x = 661,643.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.