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Finding the Third Proportional to 191,742 and 300,802.50

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Solution

The third proportional to 191,742 and 300,802.50 is: 471,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,742 : 300,802.50 = 300,802.50 : x
  2. Step 2: Convert to fraction form
    191,742/300,802.50 = 300,802.50/x
  3. Step 3: Cross multiply
    191,742x = 300,802.50 × 300,802.50
  4. Step 4: Simplify right side
    191,742x = 90,482,144,006.25
  5. Step 5: Solve for x
    x = 90,482,144,006.25/191,742
  6. Step 6: Final answer
    x = 471,895.28

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.