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Finding the Third Proportional to 245,321 and 365,389.50

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Solution

The third proportional to 245,321 and 365,389.50 is: 544,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,321 : 365,389.50 = 365,389.50 : x
  2. Step 2: Convert to fraction form
    245,321/365,389.50 = 365,389.50/x
  3. Step 3: Cross multiply
    245,321x = 365,389.50 × 365,389.50
  4. Step 4: Simplify right side
    245,321x = 133,509,486,710.25
  5. Step 5: Solve for x
    x = 133,509,486,710.25/245,321
  6. Step 6: Final answer
    x = 544,223.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.