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Finding the Third Proportional to 147,688.75 and 323,967.88

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Solution

The third proportional to 147,688.75 and 323,967.88 is: 710,651.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,688.75 : 323,967.88 = 323,967.88 : x
  2. Step 2: Convert to fraction form
    147,688.75/323,967.88 = 323,967.88/x
  3. Step 3: Cross multiply
    147,688.75x = 323,967.88 × 323,967.88
  4. Step 4: Simplify right side
    147,688.75x = 104,955,184,032.02
  5. Step 5: Solve for x
    x = 104,955,184,032.02/147,688.75
  6. Step 6: Final answer
    x = 710,651.18

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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.