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Finding the Third Proportional to 136,746 and 295,362

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Solution

The third proportional to 136,746 and 295,362 is: 637,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,746 : 295,362 = 295,362 : x
  2. Step 2: Convert to fraction form
    136,746/295,362 = 295,362/x
  3. Step 3: Cross multiply
    136,746x = 295,362 × 295,362
  4. Step 4: Simplify right side
    136,746x = 87,238,711,044
  5. Step 5: Solve for x
    x = 87,238,711,044/136,746
  6. Step 6: Final answer
    x = 637,961.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.