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Finding the Third Proportional to 240,160 and 376,722.50

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Solution

The third proportional to 240,160 and 376,722.50 is: 590,938.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,160 : 376,722.50 = 376,722.50 : x
  2. Step 2: Convert to fraction form
    240,160/376,722.50 = 376,722.50/x
  3. Step 3: Cross multiply
    240,160x = 376,722.50 × 376,722.50
  4. Step 4: Simplify right side
    240,160x = 141,919,842,006.25
  5. Step 5: Solve for x
    x = 141,919,842,006.25/240,160
  6. Step 6: Final answer
    x = 590,938.72

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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.