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Finding the Third Proportional to 196,225.75 and 423,820.88

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Solution

The third proportional to 196,225.75 and 423,820.88 is: 915,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,225.75 : 423,820.88 = 423,820.88 : x
  2. Step 2: Convert to fraction form
    196,225.75/423,820.88 = 423,820.88/x
  3. Step 3: Cross multiply
    196,225.75x = 423,820.88 × 423,820.88
  4. Step 4: Simplify right side
    196,225.75x = 179,624,134,085.77
  5. Step 5: Solve for x
    x = 179,624,134,085.77/196,225.75
  6. Step 6: Final answer
    x = 915,395.32

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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.