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Finding the Third Proportional to 113,664 and 249,486

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Solution

The third proportional to 113,664 and 249,486 is: 547,607.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,664 : 249,486 = 249,486 : x
  2. Step 2: Convert to fraction form
    113,664/249,486 = 249,486/x
  3. Step 3: Cross multiply
    113,664x = 249,486 × 249,486
  4. Step 4: Simplify right side
    113,664x = 62,243,264,196
  5. Step 5: Solve for x
    x = 62,243,264,196/113,664
  6. Step 6: Final answer
    x = 547,607.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.