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Finding the Third Proportional to 262,482.19 and 385,111.13

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Solution

The third proportional to 262,482.19 and 385,111.13 is: 565,031.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,482.19 : 385,111.13 = 385,111.13 : x
  2. Step 2: Convert to fraction form
    262,482.19/385,111.13 = 385,111.13/x
  3. Step 3: Cross multiply
    262,482.19x = 385,111.13 × 385,111.13
  4. Step 4: Simplify right side
    262,482.19x = 148,310,578,598.77
  5. Step 5: Solve for x
    x = 148,310,578,598.77/262,482.19
  6. Step 6: Final answer
    x = 565,031.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.