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Finding the Third Proportional to 186,909 and 293,752.50

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Solution

The third proportional to 186,909 and 293,752.50 is: 461,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,909 : 293,752.50 = 293,752.50 : x
  2. Step 2: Convert to fraction form
    186,909/293,752.50 = 293,752.50/x
  3. Step 3: Cross multiply
    186,909x = 293,752.50 × 293,752.50
  4. Step 4: Simplify right side
    186,909x = 86,290,531,256.25
  5. Step 5: Solve for x
    x = 86,290,531,256.25/186,909
  6. Step 6: Final answer
    x = 461,671.35

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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.