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Finding the Third Proportional to 136,004 and 291,688

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Solution

The third proportional to 136,004 and 291,688 is: 625,583.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,004 : 291,688 = 291,688 : x
  2. Step 2: Convert to fraction form
    136,004/291,688 = 291,688/x
  3. Step 3: Cross multiply
    136,004x = 291,688 × 291,688
  4. Step 4: Simplify right side
    136,004x = 85,081,889,344
  5. Step 5: Solve for x
    x = 85,081,889,344/136,004
  6. Step 6: Final answer
    x = 625,583.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.