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Finding the Third Proportional to 235,161 and 507,492

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Solution

The third proportional to 235,161 and 507,492 is: 1,095,199.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,161 : 507,492 = 507,492 : x
  2. Step 2: Convert to fraction form
    235,161/507,492 = 507,492/x
  3. Step 3: Cross multiply
    235,161x = 507,492 × 507,492
  4. Step 4: Simplify right side
    235,161x = 257,548,130,064
  5. Step 5: Solve for x
    x = 257,548,130,064/235,161
  6. Step 6: Final answer
    x = 1,095,199.16

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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.