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Finding the Third Proportional to 70,203 and 152,313

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Solution

The third proportional to 70,203 and 152,313 is: 330,459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,203 : 152,313 = 152,313 : x
  2. Step 2: Convert to fraction form
    70,203/152,313 = 152,313/x
  3. Step 3: Cross multiply
    70,203x = 152,313 × 152,313
  4. Step 4: Simplify right side
    70,203x = 23,199,249,969
  5. Step 5: Solve for x
    x = 23,199,249,969/70,203
  6. Step 6: Final answer
    x = 330,459.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.