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Finding the Third Proportional to 343,373.50 and 505,133.50

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Solution

The third proportional to 343,373.50 and 505,133.50 is: 743,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,373.50 : 505,133.50 = 505,133.50 : x
  2. Step 2: Convert to fraction form
    343,373.50/505,133.50 = 505,133.50/x
  3. Step 3: Cross multiply
    343,373.50x = 505,133.50 × 505,133.50
  4. Step 4: Simplify right side
    343,373.50x = 255,159,852,822.25
  5. Step 5: Solve for x
    x = 255,159,852,822.25/343,373.50
  6. Step 6: Final answer
    x = 743,097.10

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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.