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Finding the Third Proportional to 213,303.75 and 456,132

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Solution

The third proportional to 213,303.75 and 456,132 is: 975,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,303.75 : 456,132 = 456,132 : x
  2. Step 2: Convert to fraction form
    213,303.75/456,132 = 456,132/x
  3. Step 3: Cross multiply
    213,303.75x = 456,132 × 456,132
  4. Step 4: Simplify right side
    213,303.75x = 208,056,401,424
  5. Step 5: Solve for x
    x = 208,056,401,424/213,303.75
  6. Step 6: Final answer
    x = 975,399.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.