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Finding the Third Proportional to 316,155 and 482,109.75

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Solution

The third proportional to 316,155 and 482,109.75 is: 735,176.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,155 : 482,109.75 = 482,109.75 : x
  2. Step 2: Convert to fraction form
    316,155/482,109.75 = 482,109.75/x
  3. Step 3: Cross multiply
    316,155x = 482,109.75 × 482,109.75
  4. Step 4: Simplify right side
    316,155x = 232,429,811,045.06
  5. Step 5: Solve for x
    x = 232,429,811,045.06/316,155
  6. Step 6: Final answer
    x = 735,176.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.