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Finding the Third Proportional to 211,875.50 and 314,147.50

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Solution

The third proportional to 211,875.50 and 314,147.50 is: 465,786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,875.50 : 314,147.50 = 314,147.50 : x
  2. Step 2: Convert to fraction form
    211,875.50/314,147.50 = 314,147.50/x
  3. Step 3: Cross multiply
    211,875.50x = 314,147.50 × 314,147.50
  4. Step 4: Simplify right side
    211,875.50x = 98,688,651,756.25
  5. Step 5: Solve for x
    x = 98,688,651,756.25/211,875.50
  6. Step 6: Final answer
    x = 465,786.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.