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Finding the Third Proportional to 76,598.16 and 168,312.94

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Solution

The third proportional to 76,598.16 and 168,312.94 is: 369,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,598.16 : 168,312.94 = 168,312.94 : x
  2. Step 2: Convert to fraction form
    76,598.16/168,312.94 = 168,312.94/x
  3. Step 3: Cross multiply
    76,598.16x = 168,312.94 × 168,312.94
  4. Step 4: Simplify right side
    76,598.16x = 28,329,244,929.88
  5. Step 5: Solve for x
    x = 28,329,244,929.88/76,598.16
  6. Step 6: Final answer
    x = 369,842.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.