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Finding the Third Proportional to 109,050 and 235,335

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Solution

The third proportional to 109,050 and 235,335 is: 507,863.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,050 : 235,335 = 235,335 : x
  2. Step 2: Convert to fraction form
    109,050/235,335 = 235,335/x
  3. Step 3: Cross multiply
    109,050x = 235,335 × 235,335
  4. Step 4: Simplify right side
    109,050x = 55,382,562,225
  5. Step 5: Solve for x
    x = 55,382,562,225/109,050
  6. Step 6: Final answer
    x = 507,863.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.