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Finding the Third Proportional to 145,389 and 308,040

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Solution

The third proportional to 145,389 and 308,040 is: 652,653.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,389 : 308,040 = 308,040 : x
  2. Step 2: Convert to fraction form
    145,389/308,040 = 308,040/x
  3. Step 3: Cross multiply
    145,389x = 308,040 × 308,040
  4. Step 4: Simplify right side
    145,389x = 94,888,641,600
  5. Step 5: Solve for x
    x = 94,888,641,600/145,389
  6. Step 6: Final answer
    x = 652,653.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.