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Finding the Third Proportional to 186,699 and 294,628.50

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Solution

The third proportional to 186,699 and 294,628.50 is: 464,951.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,699 : 294,628.50 = 294,628.50 : x
  2. Step 2: Convert to fraction form
    186,699/294,628.50 = 294,628.50/x
  3. Step 3: Cross multiply
    186,699x = 294,628.50 × 294,628.50
  4. Step 4: Simplify right side
    186,699x = 86,805,953,012.25
  5. Step 5: Solve for x
    x = 86,805,953,012.25/186,699
  6. Step 6: Final answer
    x = 464,951.35

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.