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Finding the Third Proportional to 136,666.14 and 292,015.76

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Solution

The third proportional to 136,666.14 and 292,015.76 is: 623,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,666.14 : 292,015.76 = 292,015.76 : x
  2. Step 2: Convert to fraction form
    136,666.14/292,015.76 = 292,015.76/x
  3. Step 3: Cross multiply
    136,666.14x = 292,015.76 × 292,015.76
  4. Step 4: Simplify right side
    136,666.14x = 85,273,202,810.81
  5. Step 5: Solve for x
    x = 85,273,202,810.81/136,666.14
  6. Step 6: Final answer
    x = 623,952.66

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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.