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Finding the Third Proportional to 117,946.13 and 257,762.25

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Solution

The third proportional to 117,946.13 and 257,762.25 is: 563,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,946.13 : 257,762.25 = 257,762.25 : x
  2. Step 2: Convert to fraction form
    117,946.13/257,762.25 = 257,762.25/x
  3. Step 3: Cross multiply
    117,946.13x = 257,762.25 × 257,762.25
  4. Step 4: Simplify right side
    117,946.13x = 66,441,377,525.06
  5. Step 5: Solve for x
    x = 66,441,377,525.06/117,946.13
  6. Step 6: Final answer
    x = 563,319.72

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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.