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Finding the Third Proportional to 132,974 and 307,516

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Solution

The third proportional to 132,974 and 307,516 is: 711,162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,974 : 307,516 = 307,516 : x
  2. Step 2: Convert to fraction form
    132,974/307,516 = 307,516/x
  3. Step 3: Cross multiply
    132,974x = 307,516 × 307,516
  4. Step 4: Simplify right side
    132,974x = 94,566,090,256
  5. Step 5: Solve for x
    x = 94,566,090,256/132,974
  6. Step 6: Final answer
    x = 711,162.26

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.