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Finding the Third Proportional to 97,320 and 212,706

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Solution

The third proportional to 97,320 and 212,706 is: 464,897.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,320 : 212,706 = 212,706 : x
  2. Step 2: Convert to fraction form
    97,320/212,706 = 212,706/x
  3. Step 3: Cross multiply
    97,320x = 212,706 × 212,706
  4. Step 4: Simplify right side
    97,320x = 45,243,842,436
  5. Step 5: Solve for x
    x = 45,243,842,436/97,320
  6. Step 6: Final answer
    x = 464,897.68

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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.