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Finding the Third Proportional to 186,318 and 295,514.25

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Solution

The third proportional to 186,318 and 295,514.25 is: 468,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,318 : 295,514.25 = 295,514.25 : x
  2. Step 2: Convert to fraction form
    186,318/295,514.25 = 295,514.25/x
  3. Step 3: Cross multiply
    186,318x = 295,514.25 × 295,514.25
  4. Step 4: Simplify right side
    186,318x = 87,328,671,953.06
  5. Step 5: Solve for x
    x = 87,328,671,953.06/186,318
  6. Step 6: Final answer
    x = 468,707.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.