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Finding the Third Proportional to 141,507 and 209,020.50

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Solution

The third proportional to 141,507 and 209,020.50 is: 308,744.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,507 : 209,020.50 = 209,020.50 : x
  2. Step 2: Convert to fraction form
    141,507/209,020.50 = 209,020.50/x
  3. Step 3: Cross multiply
    141,507x = 209,020.50 × 209,020.50
  4. Step 4: Simplify right side
    141,507x = 43,689,569,420.25
  5. Step 5: Solve for x
    x = 43,689,569,420.25/141,507
  6. Step 6: Final answer
    x = 308,744.93

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.