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Finding the Third Proportional to 186,673.50 and 287,091

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Solution

The third proportional to 186,673.50 and 287,091 is: 441,526.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,673.50 : 287,091 = 287,091 : x
  2. Step 2: Convert to fraction form
    186,673.50/287,091 = 287,091/x
  3. Step 3: Cross multiply
    186,673.50x = 287,091 × 287,091
  4. Step 4: Simplify right side
    186,673.50x = 82,421,242,281
  5. Step 5: Solve for x
    x = 82,421,242,281/186,673.50
  6. Step 6: Final answer
    x = 441,526.21

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.