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Finding the Third Proportional to 77,465 and 164,230

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Solution

The third proportional to 77,465 and 164,230 is: 348,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,465 : 164,230 = 164,230 : x
  2. Step 2: Convert to fraction form
    77,465/164,230 = 164,230/x
  3. Step 3: Cross multiply
    77,465x = 164,230 × 164,230
  4. Step 4: Simplify right side
    77,465x = 26,971,492,900
  5. Step 5: Solve for x
    x = 26,971,492,900/77,465
  6. Step 6: Final answer
    x = 348,176.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.