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Finding the Third Proportional to 201,294 and 301,945.50

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Solution

The third proportional to 201,294 and 301,945.50 is: 452,925.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,294 : 301,945.50 = 301,945.50 : x
  2. Step 2: Convert to fraction form
    201,294/301,945.50 = 301,945.50/x
  3. Step 3: Cross multiply
    201,294x = 301,945.50 × 301,945.50
  4. Step 4: Simplify right side
    201,294x = 91,171,084,970.25
  5. Step 5: Solve for x
    x = 91,171,084,970.25/201,294
  6. Step 6: Final answer
    x = 452,925.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.