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Finding the Third Proportional to 245,700.84 and 385,503.05

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Solution

The third proportional to 245,700.84 and 385,503.05 is: 604,851.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,700.84 : 385,503.05 = 385,503.05 : x
  2. Step 2: Convert to fraction form
    245,700.84/385,503.05 = 385,503.05/x
  3. Step 3: Cross multiply
    245,700.84x = 385,503.05 × 385,503.05
  4. Step 4: Simplify right side
    245,700.84x = 148,612,599,149.91
  5. Step 5: Solve for x
    x = 148,612,599,149.91/245,700.84
  6. Step 6: Final answer
    x = 604,851.81

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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.