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Finding the Third Proportional to 97,437 and 210,417

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Solution

The third proportional to 97,437 and 210,417 is: 454,399.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,437 : 210,417 = 210,417 : x
  2. Step 2: Convert to fraction form
    97,437/210,417 = 210,417/x
  3. Step 3: Cross multiply
    97,437x = 210,417 × 210,417
  4. Step 4: Simplify right side
    97,437x = 44,275,313,889
  5. Step 5: Solve for x
    x = 44,275,313,889/97,437
  6. Step 6: Final answer
    x = 454,399.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.