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Finding the Third Proportional to 255,179 and 556,283

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Solution

The third proportional to 255,179 and 556,283 is: 1,212,681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,179 : 556,283 = 556,283 : x
  2. Step 2: Convert to fraction form
    255,179/556,283 = 556,283/x
  3. Step 3: Cross multiply
    255,179x = 556,283 × 556,283
  4. Step 4: Simplify right side
    255,179x = 309,450,776,089
  5. Step 5: Solve for x
    x = 309,450,776,089/255,179
  6. Step 6: Final answer
    x = 1,212,681.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.