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Finding the Third Proportional to 144,688 and 300,464

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Solution

The third proportional to 144,688 and 300,464 is: 623,953.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,688 : 300,464 = 300,464 : x
  2. Step 2: Convert to fraction form
    144,688/300,464 = 300,464/x
  3. Step 3: Cross multiply
    144,688x = 300,464 × 300,464
  4. Step 4: Simplify right side
    144,688x = 90,278,615,296
  5. Step 5: Solve for x
    x = 90,278,615,296/144,688
  6. Step 6: Final answer
    x = 623,953.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.