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Finding the Third Proportional to 144,607 and 296,262

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Solution

The third proportional to 144,607 and 296,262 is: 606,963.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,607 : 296,262 = 296,262 : x
  2. Step 2: Convert to fraction form
    144,607/296,262 = 296,262/x
  3. Step 3: Cross multiply
    144,607x = 296,262 × 296,262
  4. Step 4: Simplify right side
    144,607x = 87,771,172,644
  5. Step 5: Solve for x
    x = 87,771,172,644/144,607
  6. Step 6: Final answer
    x = 606,963.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.