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Finding the Third Proportional to 152,364 and 228,402

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Solution

The third proportional to 152,364 and 228,402 is: 342,387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,364 : 228,402 = 228,402 : x
  2. Step 2: Convert to fraction form
    152,364/228,402 = 228,402/x
  3. Step 3: Cross multiply
    152,364x = 228,402 × 228,402
  4. Step 4: Simplify right side
    152,364x = 52,167,473,604
  5. Step 5: Solve for x
    x = 52,167,473,604/152,364
  6. Step 6: Final answer
    x = 342,387.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.