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Finding the Third Proportional to 242,656 and 525,056

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Solution

The third proportional to 242,656 and 525,056 is: 1,136,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,656 : 525,056 = 525,056 : x
  2. Step 2: Convert to fraction form
    242,656/525,056 = 525,056/x
  3. Step 3: Cross multiply
    242,656x = 525,056 × 525,056
  4. Step 4: Simplify right side
    242,656x = 275,683,803,136
  5. Step 5: Solve for x
    x = 275,683,803,136/242,656
  6. Step 6: Final answer
    x = 1,136,109.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.