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Finding the Third Proportional to 190,116 and 265,798.50

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Solution

The third proportional to 190,116 and 265,798.50 is: 371,609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,116 : 265,798.50 = 265,798.50 : x
  2. Step 2: Convert to fraction form
    190,116/265,798.50 = 265,798.50/x
  3. Step 3: Cross multiply
    190,116x = 265,798.50 × 265,798.50
  4. Step 4: Simplify right side
    190,116x = 70,648,842,602.25
  5. Step 5: Solve for x
    x = 70,648,842,602.25/190,116
  6. Step 6: Final answer
    x = 371,609.14

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.