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Finding the Third Proportional to 109,011 and 254,545.50

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Solution

The third proportional to 109,011 and 254,545.50 is: 594,374.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,011 : 254,545.50 = 254,545.50 : x
  2. Step 2: Convert to fraction form
    109,011/254,545.50 = 254,545.50/x
  3. Step 3: Cross multiply
    109,011x = 254,545.50 × 254,545.50
  4. Step 4: Simplify right side
    109,011x = 64,793,411,570.25
  5. Step 5: Solve for x
    x = 64,793,411,570.25/109,011
  6. Step 6: Final answer
    x = 594,374.99

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.