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Finding the Third Proportional to 282,139.50 and 432,066

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Solution

The third proportional to 282,139.50 and 432,066 is: 661,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,139.50 : 432,066 = 432,066 : x
  2. Step 2: Convert to fraction form
    282,139.50/432,066 = 432,066/x
  3. Step 3: Cross multiply
    282,139.50x = 432,066 × 432,066
  4. Step 4: Simplify right side
    282,139.50x = 186,681,028,356
  5. Step 5: Solve for x
    x = 186,681,028,356/282,139.50
  6. Step 6: Final answer
    x = 661,662.15

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.