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Finding the Third Proportional to 249,581 and 374,248

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Solution

The third proportional to 249,581 and 374,248 is: 561,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,581 : 374,248 = 374,248 : x
  2. Step 2: Convert to fraction form
    249,581/374,248 = 374,248/x
  3. Step 3: Cross multiply
    249,581x = 374,248 × 374,248
  4. Step 4: Simplify right side
    249,581x = 140,061,565,504
  5. Step 5: Solve for x
    x = 140,061,565,504/249,581
  6. Step 6: Final answer
    x = 561,186.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.