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Finding the Third Proportional to 193,310 and 295,706

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Solution

The third proportional to 193,310 and 295,706 is: 452,341.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,310 : 295,706 = 295,706 : x
  2. Step 2: Convert to fraction form
    193,310/295,706 = 295,706/x
  3. Step 3: Cross multiply
    193,310x = 295,706 × 295,706
  4. Step 4: Simplify right side
    193,310x = 87,442,038,436
  5. Step 5: Solve for x
    x = 87,442,038,436/193,310
  6. Step 6: Final answer
    x = 452,341.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.