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Finding the Third Proportional to 181,575 and 282,307.50

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Solution

The third proportional to 181,575 and 282,307.50 is: 438,923.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,575 : 282,307.50 = 282,307.50 : x
  2. Step 2: Convert to fraction form
    181,575/282,307.50 = 282,307.50/x
  3. Step 3: Cross multiply
    181,575x = 282,307.50 × 282,307.50
  4. Step 4: Simplify right side
    181,575x = 79,697,524,556.25
  5. Step 5: Solve for x
    x = 79,697,524,556.25/181,575
  6. Step 6: Final answer
    x = 438,923.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.