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Finding the Third Proportional to 145,388 and 296,122

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Solution

The third proportional to 145,388 and 296,122 is: 603,132.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,388 : 296,122 = 296,122 : x
  2. Step 2: Convert to fraction form
    145,388/296,122 = 296,122/x
  3. Step 3: Cross multiply
    145,388x = 296,122 × 296,122
  4. Step 4: Simplify right side
    145,388x = 87,688,238,884
  5. Step 5: Solve for x
    x = 87,688,238,884/145,388
  6. Step 6: Final answer
    x = 603,132.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.