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Finding the Third Proportional to 210,176 and 249,056

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Solution

The third proportional to 210,176 and 249,056 is: 295,128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,176 : 249,056 = 249,056 : x
  2. Step 2: Convert to fraction form
    210,176/249,056 = 249,056/x
  3. Step 3: Cross multiply
    210,176x = 249,056 × 249,056
  4. Step 4: Simplify right side
    210,176x = 62,028,891,136
  5. Step 5: Solve for x
    x = 62,028,891,136/210,176
  6. Step 6: Final answer
    x = 295,128.33

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.