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Finding the Third Proportional to 134,004 and 294,304

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Solution

The third proportional to 134,004 and 294,304 is: 646,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,004 : 294,304 = 294,304 : x
  2. Step 2: Convert to fraction form
    134,004/294,304 = 294,304/x
  3. Step 3: Cross multiply
    134,004x = 294,304 × 294,304
  4. Step 4: Simplify right side
    134,004x = 86,614,844,416
  5. Step 5: Solve for x
    x = 86,614,844,416/134,004
  6. Step 6: Final answer
    x = 646,360.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.