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Finding the Third Proportional to 249,895 and 544,160

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Solution

The third proportional to 249,895 and 544,160 is: 1,184,938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,895 : 544,160 = 544,160 : x
  2. Step 2: Convert to fraction form
    249,895/544,160 = 544,160/x
  3. Step 3: Cross multiply
    249,895x = 544,160 × 544,160
  4. Step 4: Simplify right side
    249,895x = 296,110,105,600
  5. Step 5: Solve for x
    x = 296,110,105,600/249,895
  6. Step 6: Final answer
    x = 1,184,938.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.