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Finding the Third Proportional to 186,057 and 243,607.50

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Solution

The third proportional to 186,057 and 243,607.50 is: 318,959.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,057 : 243,607.50 = 243,607.50 : x
  2. Step 2: Convert to fraction form
    186,057/243,607.50 = 243,607.50/x
  3. Step 3: Cross multiply
    186,057x = 243,607.50 × 243,607.50
  4. Step 4: Simplify right side
    186,057x = 59,344,614,056.25
  5. Step 5: Solve for x
    x = 59,344,614,056.25/186,057
  6. Step 6: Final answer
    x = 318,959.32

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.