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Finding the Third Proportional to 86,301 and 201,730.50

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Solution

The third proportional to 86,301 and 201,730.50 is: 471,549.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,301 : 201,730.50 = 201,730.50 : x
  2. Step 2: Convert to fraction form
    86,301/201,730.50 = 201,730.50/x
  3. Step 3: Cross multiply
    86,301x = 201,730.50 × 201,730.50
  4. Step 4: Simplify right side
    86,301x = 40,695,194,630.25
  5. Step 5: Solve for x
    x = 40,695,194,630.25/86,301
  6. Step 6: Final answer
    x = 471,549.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.