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Finding the Third Proportional to 136,527.25 and 299,298.63

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Solution

The third proportional to 136,527.25 and 299,298.63 is: 656,130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,527.25 : 299,298.63 = 299,298.63 : x
  2. Step 2: Convert to fraction form
    136,527.25/299,298.63 = 299,298.63/x
  3. Step 3: Cross multiply
    136,527.25x = 299,298.63 × 299,298.63
  4. Step 4: Simplify right side
    136,527.25x = 89,579,666,926.89
  5. Step 5: Solve for x
    x = 89,579,666,926.89/136,527.25
  6. Step 6: Final answer
    x = 656,130.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.