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Finding the Third Proportional to 138,688 and 295,808

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Solution

The third proportional to 138,688 and 295,808 is: 630,929.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,688 : 295,808 = 295,808 : x
  2. Step 2: Convert to fraction form
    138,688/295,808 = 295,808/x
  3. Step 3: Cross multiply
    138,688x = 295,808 × 295,808
  4. Step 4: Simplify right side
    138,688x = 87,502,372,864
  5. Step 5: Solve for x
    x = 87,502,372,864/138,688
  6. Step 6: Final answer
    x = 630,929.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.