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Finding the Third Proportional to 118,967.63 and 257,536.13

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Solution

The third proportional to 118,967.63 and 257,536.13 is: 557,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,967.63 : 257,536.13 = 257,536.13 : x
  2. Step 2: Convert to fraction form
    118,967.63/257,536.13 = 257,536.13/x
  3. Step 3: Cross multiply
    118,967.63x = 257,536.13 × 257,536.13
  4. Step 4: Simplify right side
    118,967.63x = 66,324,855,680.02
  5. Step 5: Solve for x
    x = 66,324,855,680.02/118,967.63
  6. Step 6: Final answer
    x = 557,503.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.