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Finding the Third Proportional to 117,357.19 and 253,423.69

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Solution

The third proportional to 117,357.19 and 253,423.69 is: 547,248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,357.19 : 253,423.69 = 253,423.69 : x
  2. Step 2: Convert to fraction form
    117,357.19/253,423.69 = 253,423.69/x
  3. Step 3: Cross multiply
    117,357.19x = 253,423.69 × 253,423.69
  4. Step 4: Simplify right side
    117,357.19x = 64,223,565,386.10
  5. Step 5: Solve for x
    x = 64,223,565,386.10/117,357.19
  6. Step 6: Final answer
    x = 547,248.68

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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.