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Finding the Third Proportional to 145,596 and 308,688

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Solution

The third proportional to 145,596 and 308,688 is: 654,470.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,596 : 308,688 = 308,688 : x
  2. Step 2: Convert to fraction form
    145,596/308,688 = 308,688/x
  3. Step 3: Cross multiply
    145,596x = 308,688 × 308,688
  4. Step 4: Simplify right side
    145,596x = 95,288,281,344
  5. Step 5: Solve for x
    x = 95,288,281,344/145,596
  6. Step 6: Final answer
    x = 654,470.46

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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.