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Finding the Third Proportional to 117,102 and 256,964

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Solution

The third proportional to 117,102 and 256,964 is: 563,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,102 : 256,964 = 256,964 : x
  2. Step 2: Convert to fraction form
    117,102/256,964 = 256,964/x
  3. Step 3: Cross multiply
    117,102x = 256,964 × 256,964
  4. Step 4: Simplify right side
    117,102x = 66,030,497,296
  5. Step 5: Solve for x
    x = 66,030,497,296/117,102
  6. Step 6: Final answer
    x = 563,871.64

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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.