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Finding the Third Proportional to 202,421 and 297,070

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Solution

The third proportional to 202,421 and 297,070 is: 435,975.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,421 : 297,070 = 297,070 : x
  2. Step 2: Convert to fraction form
    202,421/297,070 = 297,070/x
  3. Step 3: Cross multiply
    202,421x = 297,070 × 297,070
  4. Step 4: Simplify right side
    202,421x = 88,250,584,900
  5. Step 5: Solve for x
    x = 88,250,584,900/202,421
  6. Step 6: Final answer
    x = 435,975.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.