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Finding the Third Proportional to 145,667 and 228,892

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Solution

The third proportional to 145,667 and 228,892 is: 359,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,667 : 228,892 = 228,892 : x
  2. Step 2: Convert to fraction form
    145,667/228,892 = 228,892/x
  3. Step 3: Cross multiply
    145,667x = 228,892 × 228,892
  4. Step 4: Simplify right side
    145,667x = 52,391,547,664
  5. Step 5: Solve for x
    x = 52,391,547,664/145,667
  6. Step 6: Final answer
    x = 359,666.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.