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Finding the Third Proportional to 205,621.50 and 314,265

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Solution

The third proportional to 205,621.50 and 314,265 is: 480,312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,621.50 : 314,265 = 314,265 : x
  2. Step 2: Convert to fraction form
    205,621.50/314,265 = 314,265/x
  3. Step 3: Cross multiply
    205,621.50x = 314,265 × 314,265
  4. Step 4: Simplify right side
    205,621.50x = 98,762,490,225
  5. Step 5: Solve for x
    x = 98,762,490,225/205,621.50
  6. Step 6: Final answer
    x = 480,312.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.