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Finding the Third Proportional to 145,594 and 308,684

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Solution

The third proportional to 145,594 and 308,684 is: 654,462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,594 : 308,684 = 308,684 : x
  2. Step 2: Convert to fraction form
    145,594/308,684 = 308,684/x
  3. Step 3: Cross multiply
    145,594x = 308,684 × 308,684
  4. Step 4: Simplify right side
    145,594x = 95,285,811,856
  5. Step 5: Solve for x
    x = 95,285,811,856/145,594
  6. Step 6: Final answer
    x = 654,462.49

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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.