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Finding the Third Proportional to 180,270 and 282,777.50

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Solution

The third proportional to 180,270 and 282,777.50 is: 443,574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,270 : 282,777.50 = 282,777.50 : x
  2. Step 2: Convert to fraction form
    180,270/282,777.50 = 282,777.50/x
  3. Step 3: Cross multiply
    180,270x = 282,777.50 × 282,777.50
  4. Step 4: Simplify right side
    180,270x = 79,963,114,506.25
  5. Step 5: Solve for x
    x = 79,963,114,506.25/180,270
  6. Step 6: Final answer
    x = 443,574.16

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Why These Related Problems?

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