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Finding the Third Proportional to 149,294 and 219,585

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Solution

The third proportional to 149,294 and 219,585 is: 322,970.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,294 : 219,585 = 219,585 : x
  2. Step 2: Convert to fraction form
    149,294/219,585 = 219,585/x
  3. Step 3: Cross multiply
    149,294x = 219,585 × 219,585
  4. Step 4: Simplify right side
    149,294x = 48,217,572,225
  5. Step 5: Solve for x
    x = 48,217,572,225/149,294
  6. Step 6: Final answer
    x = 322,970.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.