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Finding the Third Proportional to 231,411 and 349,585.50

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Solution

The third proportional to 231,411 and 349,585.50 is: 528,108.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,411 : 349,585.50 = 349,585.50 : x
  2. Step 2: Convert to fraction form
    231,411/349,585.50 = 349,585.50/x
  3. Step 3: Cross multiply
    231,411x = 349,585.50 × 349,585.50
  4. Step 4: Simplify right side
    231,411x = 122,210,021,810.25
  5. Step 5: Solve for x
    x = 122,210,021,810.25/231,411
  6. Step 6: Final answer
    x = 528,108.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.