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Finding the Third Proportional to 221,575 and 343,743.50

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Solution

The third proportional to 221,575 and 343,743.50 is: 533,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,575 : 343,743.50 = 343,743.50 : x
  2. Step 2: Convert to fraction form
    221,575/343,743.50 = 343,743.50/x
  3. Step 3: Cross multiply
    221,575x = 343,743.50 × 343,743.50
  4. Step 4: Simplify right side
    221,575x = 118,159,593,792.25
  5. Step 5: Solve for x
    x = 118,159,593,792.25/221,575
  6. Step 6: Final answer
    x = 533,271.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.